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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.
Guida passo 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
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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