LCM Calculator
Calculate the Least Common Multiple (LCM) of two or more numbers with prime factorization.
Enter two or more positive integers separated by commas
Parsed Numbers
121824
Least Common Multiple
72
Expression
LCM(12, 18, 24) = 72
Prime Factorizations
122^2 × 3
182 × 3^2
242^3 × 3
Calculation Steps
1.12 = 2^2 × 3
2.18 = 2 × 3^2
3.24 = 2^3 × 3
4.LCM = 2^3 × 3^2 = 72
Verification
72 ÷ 12= 6
72 ÷ 18= 4
72 ÷ 24= 3
What is LCM?
The Least Common Multiple is the smallest positive number that is a multiple of all given numbers. For example, LCM(4, 6) = 12 because 12 is the smallest number divisible by both 4 and 6.
How to Calculate LCM
Factor each number into primes. The LCM is the product of each prime factor raised to its highest power among all the numbers.
Applications
Used for adding fractions (common denominator), synchronizing cyclical events (traffic lights, rotations), and in distribution and scheduling problems.