The least common multiple is the smallest number that both numbers divide into evenly. For example, LCM(4, 6) = 12.

LCM is used when adding fractions (finding a common denominator), scheduling events that repeat at different intervals, and in number theory.

What is the relationship between GCD and LCM?

GCD(a,b) × LCM(a,b) = a × b. Knowing one lets you calculate the other.

LCM Calculator

Calculate the least common multiple (LCM) of two numbers.

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Lcm Val

Gcd Val6

Product216

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Least Common Multiple (LCM)

Definition

The LCM of two numbers is the smallest positive integer that is divisible by both numbers.

Formula

LCM(a, b) = a × b / GCD(a, b)

Example

LCM(12, 18):

GCD(12, 18) = 6

LCM = (12 × 18) / 6 = 216 / 6 = 36

Example Calculation

Find LCM(12, 18).

01GCD(12, 18) = 6
02LCM = (12 × 18) / 6
03= 216 / 6
04= 36

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