Least Common Multiple Calculator
Find the least common multiple (LCM) of a list of integers with its prime-factorization breakdown.
Runs 100% in your browser — nothing is uploaded.
Result
Formula
LCM(a,b) = |a·b| ÷ GCF(a,b)
About this calculator
The Least Common Multiple (LCM) Calculator finds the smallest positive integer that is divisible by each of two or more given integers. It also provides a quick divisibility check for each input. The calculator computes the LCM by iteratively applying the formula LCM(a,b) = |a·b| / GCF(a,b) across the list of numbers.
How to use
- 1
Enter at least two integers in the 'Numbers' field, separated by commas (e.g., 4, 6).
- 2
Click the calculate button to compute the least common multiple.
- 3
Review the result and the divisibility check for each input number.
Frequently asked questions
What is the least common multiple (LCM)?
The least common multiple of two or more integers is the smallest positive integer that is divisible by each of them. For example, the LCM of 4 and 6 is 12.
How is the LCM calculated?
The calculator uses the formula LCM(a,b) = |a·b| / GCF(a,b). For more than two numbers, it applies this formula iteratively: first find the LCM of the first two, then the LCM of that result and the next number, and so on.
Can I enter more than two numbers?
Yes, you can enter any number of positive integers separated by commas, spaces, or semicolons. The calculator will compute the LCM of all of them.
Please note: Results are estimates for general information only and are not professional or medical/financial advice.