LCM Calculator
Calculate the Least Common Multiple (LCM) of numbers using various methods with detailed explanations
LCM Calculator
Enter Numbers
Calculation Method
LCM Applications
Adding Fractions
Find common denominator using LCM
Scheduling Problem
When will events repeat together?
Calculation Steps
Enter numbers to see detailed LCM calculation steps.
LCM Methods
1. Using GCD:
LCM(a,b) = (a × b) / GCD(a,b)
2. Prime Factorization:
Take highest power of each prime factor
3. Listing Multiples:
List multiples until finding the first common one
Quick Examples
Understanding LCM
What is LCM?
The Least Common Multiple is the smallest positive integer that is divisible by each of the given numbers. It's the "meeting point" of multiples.
Why is LCM Useful?
LCM is essential for adding fractions, solving scheduling problems, finding periodic patterns, and working with repeating cycles.
LCM vs GCD
While GCD finds the largest common factor, LCM finds the smallest common multiple. They're mathematically related: GCD(a,b) × LCM(a,b) = a × b.
Real-World Examples
Traffic lights synchronization, gear systems, music rhythm patterns, planetary alignments, and any repeating cycle coordination.
Related Calculators
GCD Calculator
Greatest Common Divisor calculations
Fraction Calculator
Fraction operations using LCM
Prime Number Calculator
Prime factorization for LCM