Least Common Multiple (LCM) Calculator

The Least Common Multiple (LCM) is an essential concept in mathematics.
It helps find the smallest multiple that two or more numbers share. This concept is widely used in solving problems involving fractions, time intervals, and scheduling tasks. Our LCM Calculator is designed to make finding the LCM fast and simple.

What is the Least Common Multiple?

The Least Common Multiple is the smallest number divisible by all the numbers in a given set.
For example:

• The LCM of 4 and 6 is 12 because 12 is the smallest number that both 4 and 6 divide evenly.

How to Calculate the LCM Manually?

1. List the Multiples of Each NumberWrite the multiples of each number until you find a common value.
   • Multiples of 4: 4, 8, 12, 16, 20…
   • Multiples of 6: 6, 12, 18, 24, 30…
   • Common multiple: 12
2. Use Prime FactorizationBreak each number into prime factors and multiply the highest power of each factor.
   • 4 = \(2^2\)
   • 6 = \(2 \times 3\)
   • LCM = \(2^2 \times 3 = 12\)
3. Divide by the Greatest Common Divisor (GCD)Use the relationship:

   \[
   \text{LCM} = \frac{\text{Product of the Numbers}}{\text{GCD}}
   \]

   Example:

   • Numbers: 4 and 6
   • GCD = 2
   • LCM =
     \[
     \frac{4 \times 6}{2} = 12
     \]

Example Calculation with the LCM Calculator

Input: 8 and 12

Output: The LCM of 8 and 12 is 24.

Simplify your math problems with our LCM Calculator today! Save time, reduce errors,
and make learning easier for students and professionals alike.