Least Common Multiple Calculator

Calculate LCM of two or more numbers instantly

What is Least Common Multiple (LCM)?

The Least Common Multiple of two or more integers is the smallest positive integer that is divisible by each of the numbers. For example, the LCM of 4 and 6 is 12.

Calculation Methods

  • Prime Factorization: LCM = product of highest powers of all primes
  • Division Method: Divide by common primes until no common division possible
  • Using GCD: LCM(a,b) = (a × b) / GCD(a,b)

Practical Applications

Adding fractions with different denominators
Scheduling recurring events
Music and rhythm patterns
Computer science algorithms

About the LCM Calculator

Our Least Common Multiple calculator is a powerful online tool that helps you find the LCM of any set of numbers quickly and accurately. Whether you're a student working on math homework, a teacher preparing lessons, or a professional needing quick calculations, this tool provides instant results with detailed step-by-step explanations.

Key Features

Multiple Number Support

Calculate LCM for 2, 3, or more numbers at once with our easy-to-use interface.

Educational Steps

Learn how the calculation works with our detailed step-by-step solutions.

Related Calculations

Get both LCM and GCD results to understand the complete mathematical relationship.

Common LCM Examples

Numbers LCM Explanation
3, 5 15 First number divisible by both 3 and 5
6, 8 24 Multiples: 6→12→18→24, 8→16→24
12, 15, 20 60 Prime factors: 2²×3×5