LCM Calculator

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

Valor MMC

36

Gcd Val6
Product216

Formula

## 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

Exemplo Resolvido

Find LCM(12, 18).

  1. 01GCD(12, 18) = 6
  2. 02LCM = (12 × 18) / 6
  3. 03= 216 / 6
  4. 04= 36

Perguntas Frequentes

What is LCM?

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

When is LCM useful?

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.

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