LCM Calculator
Find the Least Common Multiple (LCM) of two or more numbers. Useful for adding fractions, scheduling problems, and finding the smallest common unit across different cycles.
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)
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