Math

GCF and LCM Calculator

Find both the greatest common factor and least common multiple of two numbers.

Calculated Output

GCF 6

LCM 36

Formula: LCM = (a × b) ÷ GCF

Step-by-Step Breakdown

1. Values used:

2. First number = 12

3. Second number = 18

5. GCF = 6

6. LCM = 36

Did this calculator solve your problem today?

The math behind it

The GCF is found with the Euclidean algorithm; the LCM follows from LCM × GCF = a × b.

12 and 18 → GCF 6, LCM 36.

How are they related?

Their product equals the product of the two numbers: GCF × LCM = a × b.