LCM Calculator
Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) for any set of numbers with full step-by-step breakdowns.
Least Common Multiple (LCM) Solver
Enter numbers separated by commas or spaces (e.g., 12, 18, 24 or 8 12).
LCM Calculation Methods
The Least Common Multiple (LCM) of integers is the smallest positive integer that is divisible by all of them without a remainder.
1. GCF / GCD Formula Method:
LCM(a, b) = (a × b) / GCF(a, b)
2. Prime Factorization:
LCM = Product of highest powers of all prime factors
3. Listing Multiples:
List multiples for each number until the smallest match is found
Frequently Asked Questions (FAQs)
LCM (Least Common Multiple) is the smallest number that is a multiple of two or more numbers. GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers.
Yes. By definition, LCM is always expressed as a positive integer. Absolute values of negative numbers are taken before performing LCM calculation.