LCM (Least Common Multiple) is the smallest number divisible by all given numbers. Example: LCM(4,6) = 12. Method: list multiples of each number until you find a common one, or use LCM(a,b) = (a×b)/GCD(a,b).
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🔢 LCM Calculator
Calculate the Least Common Multiple of any set of numbers instantly. Essential for fractions, scheduling problems, and math homework.
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🤔 How Does This Work?
Uses GCD-based formula: LCM(a,b) = (a×b)/GCD(a,b)
Extends to multiple numbers by iterating pairwise
❓ Frequently Asked Questions
What is LCM used for?▼
LCM is used to find common denominators when adding/subtracting fractions, solving scheduling problems (when will two repeating events coincide), and in number theory problems.
How is LCM different from GCF?▼
LCM (Least Common Multiple) is the smallest number divisible by all inputs. GCF/HCF (Greatest Common Factor) is the largest number that divides all inputs evenly. They are inversely related: LCM(a,b) × GCF(a,b) = a × b.
LCM is used to find common denominators when adding/subtracting fractions, solving scheduling problems (when will two repeating events coincide), and in number theory problems.
How is LCM different from GCF?▼
LCM (Least Common Multiple) is the smallest number divisible by all inputs. GCF/HCF (Greatest Common Factor) is the largest number that divides all inputs evenly. They are inversely related: LCM(a,b) × GCF(a,b) = a × b.