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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.
Guide étape par étape
- 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
Exemples résolus
Entrée
LCM(4, 6)
Résultat
12
Smallest number divisible by both 4 and 6
Entrée
LCM(12, 18, 24)
Résultat
72
Used to add 1/12 + 1/18 + 1/24
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