Lumen Calculator

Calculate luminous flux (lumens) from luminous intensity (candelas), beam angle, and understand photometric quantities for lighting design.

LUMINOUS FLUX
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Lumens
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Solid Angle (sr)
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Intensity (cd)
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Beam Angle
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What Is a Lumen?

A lumen (lm) is the SI unit of luminous flux, measuring the total amount of visible light emitted by a source as perceived by the human eye. Unlike watts (which measure total radiant power), lumens account for the eye's sensitivity curve, giving more weight to green-yellow wavelengths where human vision is most sensitive. One lumen is defined as the luminous flux emitted by a light source of one candela intensity over a solid angle of one steradian.

Lumens have become the primary metric for comparing light bulb brightness, replacing the old watt-based system. A typical 60W incandescent bulb produces about 800 lumens, while an LED achieving the same brightness uses only 8-12 watts, demonstrating the importance of separating light output from energy consumption.

Lumen Formula

Φ = I × Ω
Ω = 2π(1 - cos(θ/2))

Where Φ is luminous flux (lumens), I is luminous intensity (candelas), Ω is the solid angle (steradians), and θ is the beam angle.

Light Source Comparison

SourceLumensEfficacy (lm/W)
Candle12~0.3
40W Incandescent45011
60W Incandescent80013
LED (10W)80080
T8 Fluorescent2,80090

Frequently Asked Questions

What is the difference between lumens and lux?

Lumens measure total light output from a source, while lux measures illuminance (lumens per square meter) at a surface. A 1000-lumen flashlight focused into a narrow beam creates high lux in a small area, while a 1000-lumen room light creates lower lux spread over the entire room. Lux = lumens / area.

What is luminous efficacy?

Luminous efficacy measures how efficiently a light source converts electrical power into visible light, expressed in lumens per watt (lm/W). Incandescent bulbs achieve about 12-17 lm/W, fluorescents 50-100 lm/W, and modern LEDs 80-200+ lm/W. The theoretical maximum is 683 lm/W for monochromatic 555 nm green light.

How many lumens do I need?

General room lighting typically needs 300-500 lux. For a 20 m2 room, this requires 6,000-10,000 lumens total. Task lighting (reading, cooking) needs 500-1000 lux locally. Outdoor security lighting typically uses 700-1300 lumens per fixture.