---
tag: 007NPQX34K
kind: concept
name: Least common multiple
msc: [11A05]
sources:
  - url: https://en.wikipedia.org/wiki/Least_common_multiple
    locator: lead section
same_as:
  wikidata: Q102761
  wikipedia: Least common multiple
---

## Summary

The least common multiple of two nonzero integers is the smallest positive integer that is a multiple of both of them.
We write it as $\operatorname{lcm}(a, b)$.
The [[definition of the least common multiple|09S5SN35DJ]] gives the precise form and the convention when one of the numbers is $0$.