About This Calculator
This LCM Calculator helps you find the least common multiple (LCM) of two or more integers. It's useful for simplifying fractions, aligning denominators, and solving problems in arithmetic and algebra.
How It Works
- Enter two or more positive integers (e.g.,
12 18 24or12, 18, 24). - It calculates the LCM using the formula
LCM(a, b) = (a × b) ÷ GCD(a, b), applied iteratively for more than two numbers. - Each step is displayed clearly with prime factor breakdowns and formatted explanations.
LCM(a, b) = a × b GCD(a, b)
Frequently Asked Questions
What is the least common multiple?
The LCM is the smallest number that is evenly divisible by all the input integers. It's often used to align denominators in fraction addition or solve real-world math problems.
How many numbers can I enter?
You can enter as many as needed—2, 3, 10, or more. The calculator handles them all step by step.
Does it show how the LCM is calculated?
Yes. The calculator displays prime factorization for each input and the step-by-step application of the LCM formula using GCD.
What is the difference between LCM and LCD?
They are the same in calculation. LCD (least common denominator) refers specifically to the LCM of denominators in fractions.