The Least Common Multiple (LCM) Calculator helps you quickly find the smallest number that is a multiple of two or more given numbers. LCM is widely used in arithmetic, fraction operations, algebra, and solving real-life mathematical problems.

What is LCM?

The LCM of two or more numbers is the smallest positive number that is evenly divisible by all the given numbers.

How to Find LCM

You can calculate the LCM using methods like:

• Listing Multiples
• Prime Factorization
• LCM–GCF Relation

LCM Formula (Using GCF)

LCM(a, b) = |a × b| / GCF(a, b)

Where:

• a and b are the given numbers
• GCF(a, b) is the greatest common factor of the two numbers
• The result gives the smallest common multiple

Examples

Example 1:

Find LCM of 4 and 6
Multiples of 4 → 4, 8, 12, 16...
Multiples of 6 → 6, 12, 18...
Common multiple → 12
LCM = 12

Example 2:

Find LCM of 8 and 14
8 = 2 × 2 × 2
14 = 2 × 7
LCM = 2 × 2 × 2 × 7 = 56
LCM = 56

Example 3:

Using LCM–GCF relation:
For 9 and 12:
GCF(9, 12) = 3
LCM = (9 × 12) / 3 = 36
LCM = 36

This calculator is ideal for students, teachers, and anyone working with fractions, ratios, or number theory.