GCD & LCM Calculator

Calculate the greatest common divisor (GCD), least common multiple (LCM), and prime factorization. Useful for number theory, fractions, and algorithms.

Number Theory

Grade 5+

Intermediate

Features

•Calculate GCD of two numbers
•Calculate LCM of two numbers
•Prime factorization of a number
•Tabs for different operations
•Real-time result display

First Number

Second Number

About GCD & LCM

The Greatest Common Divisor (GCD) and Least Common Multiple (LCM) are important concepts in number theory.

Key Concepts

GCD is the largest positive integer that divides each of the given integers without a remainder
LCM is the smallest positive integer that is divisible by each of the given integers
For two numbers a and b: a × b = GCD(a, b) × LCM(a, b)
Prime factorization expresses a number as a product of its prime factors

These concepts are used in fraction arithmetic, cryptography, and various algorithms in computer science.