LCM Calculator

Enter two or more integers separated by commas (e.g., 4, 6, 10). The calculator returns the LCM using prime factorization and shows the step-by-step working.

Example: LCM(4, 6) = 12, because 12 is the smallest positive integer divisible by both 4 and 6.

Common use: To add fractions with different denominators, find their LCM to determine the least common denominator (LCD).

LCM(a, b) = |a × b| / GCF(a, b)

Via prime factorization: take each prime factor at its highest power across all numbers. LCM(4, 6): 4 = 2², 6 = 2 × 3 → LCM = 2² × 3 = 12

For multiple numbers: LCM(a, b, c) = LCM(LCM(a, b), c)