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.
LCM(a, b) = (a × b) / GCF(a, b)
LCM = Product of highest powers of all prime factors
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.
Yes. The calculator supports calculating the least common multiple for two or more integers entered together.
LCM is useful for adding fractions, scheduling repeating events, solving number theory problems, and many engineering calculations.
Yes. The calculator also determines the Greatest Common Factor (GCF/GCD) while solving the given numbers.