Least Common Multiple Calculator
Find an exact common multiple of a list of integers.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Least Common Multiple Calculator
A common multiple can be divided by every number in the list without a remainder. The least common multiple finds the smallest such positive value when all inputs are non-zero. It is useful for repeated-cycle alignment and common denominators. The implementation uses exact integer arithmetic, so large answers are not truncated to a floating-point integer.
The calculation
Worked example
The least common multiple of 12, 18 and 24 is 72. Both 4 and 6 divide 12, so their least common multiple is 12.
Assumptions and limits
Input integers are limited to one billion in magnitude and 1,000 entries. A result exceeding 500 decimal digits is rejected to keep the output manageable. Signs are ignored. By this tool’s stated convention, a list containing zero returns zero; it does not claim that zero is a smallest positive common multiple.
Common questions
Why is the result displayed as a long exact integer?
JavaScript’s arbitrary-precision integer arithmetic preserves whole-number digits beyond the ordinary floating-point exact-integer range.
What happens with zero?
The result is zero under the convention used by this calculator, and the result note states that convention.