Formula & Calculator

Lighting Lumen Efficacy

This tells you how efficiently a light source turns electricity into visible light. It is lumens per watt. For example, an LED that produces 800 lumens while using 10 W has an efficacy of 80 lm/W. Higher efficacy means more light for less energy, which is why LEDs are so popular. It is a key metric when choosing bulbs for energy savings.

Renewable Energy Efficiency Metrics
LIGHTING & ELECTRICAL TOOLS · LUMINOUS EFFICACY

Lighting Lumen Efficacy Calculator

Solve for luminous efficacy, luminous flux or power, then plan a room with the lumen method. Compare lamp types, estimate running cost, and see charts, a fixture-layout diagram and real lamp examples.

η = Luminous Flux (lm) / Power (W)
Solve for
Luminous flux (Φ)SOLVED
10 lm1,000,000 lm
Luminous flux must be greater than 0.
Electrical power (P)SOLVED
1 W100 kW
Power must be greater than 0.
Luminous efficacy (η)SOLVED
lm/W
1250 lm/W
Efficacy must be greater than 0.
Room planning (lumen method)
Target illuminance
Must be above 0.
Room floor area
Must be above 0.
Utilisation factor (UF)
0–1
Enter above 0 up to 1.
Maintenance factor (MF)
0–1
Enter above 0 up to 1.
Running cost and comparison
Operating hours per year
h/yr
Enter 0 to 8,760.
Electricity price per kWh
Price must be 0 or more.
Compare with another lamp (η)
lm/W
Must be above 0.
LUMINOUS EFFICACY (η)
—lm/W
Step-by-step solution
All units and extras
Efficacy scale (indicative)
Compared with common lamp types
typical rangeyour lamp
Power needed vs efficacy (same lumens)
Room plan
Running cost
Diagram · fixture layout for your room

Efficacy, not brightness

η tells you how much light you get per watt. A higher η means the same lumens for less power.

The lumen method

Fixtures needed = (lux × area) ÷ (lumens per fixture × UF × MF). UF covers light lost to walls and fittings, MF covers dirt and ageing.

The 683 lm/W ceiling

No source can exceed 683 lm/W, the value for pure green light at 555 nm. White light sources are far below that.

Source vs system

Lamp efficacy ignores driver, optics and fitting losses. System efficacy of a luminaire is usually lower than the bare lamp.

How to Use This Calculator

Luminous efficacy links three quantities: luminous flux Φ (lumens), electrical power P (watts) and their ratio η. Choose which one to solve, enter the other two, then read the result.

1. Choose what to solve for

Pick η (from lumens and watts), Φ (light output from η and power) or P (power needed for a given light output and efficacy).

2. Enter your values

Type a number, tap a preset (450 to 20,000 lm, 5 to 100 W, efficacy 15 to 150), or drag the slider under each field.

3. Pick the units

Flux can be in lm or klm, power in W or kW, illuminance in lux or foot-candles, area in m² or ft². Values convert when you change a unit.

4. Calculate and read the result

Press Calculate & show result. It scrolls to the result card with the answer, the step-by-step math and the percentage of the 683 lm/W theoretical maximum.

5. Compare and check the charts

See where your lamp sits against incandescent, CFL, fluorescent, HID and LED ranges, and how power falls as efficacy rises.

6. Plan a room and cost, or load a real lamp

Advanced is on by default: enter lux, area, UF, MF, hours and price for the fixture count and running cost. Use Basic for a simpler view, or load a lamp from the tables below.

What This Tool Offers

Built around the standard efficacy formula η = Φ ÷ P, measured in lumens per watt (lm/W).

Solve in any direction

Find efficacy, light output or power. The formula rearranges for you and shows each step.

Unit conversion

lm and klm, W and kW, lux and foot-candles, m² and ft², so you never convert by hand.

Type, preset or drag

Every main input has quick presets and a draggable slider for fast "what if" exploration.

Charts and lamp comparison

An efficacy scale, range bars for common lamp types, and a power-versus-efficacy curve with your lamp marked.

Room planning

The lumen method gives the number of fixtures, total power, power density and a drawn layout of your room.

Cost and real examples

Annual energy cost and savings against another lamp, plus typical incandescent, CFL, fluorescent, HID and LED examples.

Typical lamp examples

Representative power and light output (illustrative, varies by model). Efficacy is computed from the numbers. Click Load to try one.

LampPower (W)Flux (lm)η (lm/W)% of 683 max

Efficacy by lamp type

Lamp typeTypical η (lm/W)

Ranges are typical values. The best modern LED products exceed these, and individual models vary.

Indicative illuminance targets

Typical design targets. Always check the standard that applies to you (for example EN 12464-1 or IES recommendations). Click Use to set the target.

SpaceTypical lux

Unit reference

ConversionValue
1 lux1 lm per m²
1 foot-candle10.764 lux
1 ft²0.092903 m²
1 klm1,000 lm
Theoretical maximum683 lm/W at 555 nm

Validation and sources

Definition: luminous efficacy = luminous flux (lm) / electrical power (W)
683 lm/W: SI definition of the candela at 540 THz (about 555 nm)
Lumen method: N = (E · A) / (Φ · UF · MF), standard lighting design practice
Every result is cross-checked by recomputing η = Φ / P

Lamp figures and lux targets on this page are indicative. Use the manufacturer's data sheet and your local lighting standard for design work.

Formulas

η = Φ / P · Φ = η · P · P = Φ / η
Luminous efficiency = η / 683 × 100 %
Total lumens needed = E · A / (UF · MF) · N = ceil(total / Φ)
Power density = N · P / A · Achieved lux = N · Φ · UF · MF / A
Annual kWh = P / 1000 · hours · Same lumens at η₂: P₂ = Φ / η₂

Results are first-order estimates for comparison and planning.

Variables

Symbol Quantity Unit
η Luminous efficacy (efficiency of converting electrical power to visible light) lm/W
Φ Luminous flux (total visible light output) lm
P Electrical power input W

What it means

Lumen efficacy is the ratio of luminous flux (lumens) to electrical power (watts), expressed in lm/W. It measures how efficiently a light source produces visible light. Higher efficacy means more light per watt. LED lamps have high efficacy (often 80‑100 lm/W) compared to incandescent (10‑15 lm/W) and fluorescent (50‑80 lm/W). Example: A 10W LED producing 800 lumens has efficacy = 800/10 = 80 lm/W. This metric is used to compare different lighting technologies and to select energy‑efficient lighting. Efficacy is a key parameter in lighting design and energy codes.

Worked example

Lumen Efficacy – Practical Example

Real‑World
Scenario: An LED lamp produces 800 lumens and consumes 10 W. Calculate its efficacy.
ParameterValue
Luminous flux800 lm
Power input10 W
Formulaη = Luminous Flux / Power
1η = 800 / 10 = 80 lm/W
Final Design 80 lm/W ✓ High efficacy
Why: Lumen efficacy measures how efficiently a light source produces visible light – LEDs are typically > 80 lm/W.

Common mistakes

Watch for unit mismatches (W vs kW, single- vs three-phase) and remember to include power factor or efficiency where the formula requires it.

Applications

Lighting lumen efficacy η = Luminous Flux(lm) / Power(W) measures how efficiently a lamp produces visible light. Higher efficacy means more lumens per watt. Engineers use it to select energy‑efficient lighting, to design lighting systems, and to meet sustainability goals. This is key for lighting design and energy conservation.

  • Lighting design and fixture selection
  • Energy‑efficient lighting upgrades (LED, CFL)
  • Building energy code compliance
  • Cost savings analysis for lighting
  • Educational understanding of light output