LCM Calculator

Calculate the Least Common Multiple (LCM) of two or more numbers. The LCM is the smallest positive integer that is divisible by all given numbers.

Enter positive integers only

📊 Result

LCM = 0

How to Use the LCM Calculator

What is LCM?

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the numbers. It's commonly used in fraction operations, scheduling problems, and many other mathematical applications.

LCM Calculation Methods

This calculator uses the prime factorization method to find the LCM:

Prime Factorization: Break down each number into its prime factors
Identify Common and Unique Factors: Find all prime factors with their highest powers
Multiply: Multiply all the prime factors with their highest powers to get the LCM

Example

To find LCM(12, 18):

  • 12 = 2² × 3
  • 18 = 2 × 3²
  • LCM = 2² × 3² = 4 × 9 = 36