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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.

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  1. 1LCM(a,b) = |a × b| / GCF(a,b)
  2. 2Prime factorization: take all prime factors with highest powers
  3. 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
  4. 4LCM of coprime numbers (GCF=1) = their product

Esempi risolti

Ingresso
LCM(4, 6)
Risultato
12
Smallest number divisible by both 4 and 6
Ingresso
LCM(12, 18, 24)
Risultato
72
Used to add 1/12 + 1/18 + 1/24

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