number theory calculators

LCM Calculator

Calculate the Least Common Multiple of two numbers

About this calculator

The LCM Calculator finds the Least Common Multiple of two numbers, which is the smallest positive integer that is divisible by both numbers. This mathematical tool is essential for solving fraction problems, finding common denominators, scheduling recurring events, and working with ratios. Students, teachers, and professionals use it for algebra, number theory, and practical applications like determining when two cycles will coincide again.

How to use

Enter the first number in the designated input field, then enter the second number in the next field. Click the calculate button to instantly find the LCM of both numbers. The result will display the smallest number that both input numbers divide into evenly.

Frequently asked questions

What is the LCM of two prime numbers?

The LCM of two prime numbers is always their product, since prime numbers have no common factors other than 1.

Can I find the LCM of negative numbers?

Technically yes, but LCM is typically defined for positive integers. The calculator works with the absolute values of negative inputs.

What's the difference between LCM and GCD?

LCM finds the smallest common multiple, while GCD (Greatest Common Divisor) finds the largest number that divides both numbers evenly.