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The Least Common Multiple (LCM) is the smallest positive integer divisible by two or more given numbers. Used for adding fractions with different denominators, scheduling problems, and finding repeating patterns.
Guia passo a passo
- 1LCM(a,b) = |a × b| / GCF(a,b)
- 2Prime factorization: take all prime factors with highest powers
- 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
- 4LCM of coprime numbers (GCF=1) = their product
Exemplos resolvidos
Entrada
LCM(4, 6)
Resultado
12
Smallest number divisible by both 4 and 6
Entrada
LCM(12, 18, 24)
Resultado
72
Used to add 1/12 + 1/18 + 1/24
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