LCM Calculator — Least Common Multiple (GCD Method)
Find the Least Common Multiple of two or more numbers using both the efficient GCD-based formula and the prime factorization method side by side.
LCM Calculator
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LCM Formula
LCM(a,b) = (a × b) / GCD(a,b)
GCD of 12 and 18
6
Prime Factorization Data
[{"number":12,"factors":[{"factor":2,"exponent":2},{"factor":3,"exponent":1}]},{"number":18,"factors":[{"factor":2,"exponent":1},{"factor":3,"exponent":2}]},{"number":24,"factors":[{"factor":2,"exponent":3},{"factor":3,"exponent":1}]}]
Multiples Data
{"a":12,"b":18,"multiplesA":[12,24,36,48,60,72],"multiplesB":[18,36,54,72],"lcm":72}
Input Numbers
[12,18,24]
Scenario Comparison
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Least Common Multiple
72
Multiples Comparison
Bars show multiples of 12 and 18. The first common value is the LCM: 72
Method 1 — List of Multiples
Multiples of 12:
Multiples of 18:
The first common multiple is the LCM: 72
Method 2 — Prime Factorization
12 = 2^2 × 3^1
18 = 2^1 × 3^2
24 = 2^3 × 3^1
Take the highest exponent of each prime factor across all numbers.
LCM Formula
LCM(a, b) = (a × b) / GCD(a, b)
LCM(12, 18) = (12 × 18) / 6 = 72
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