[numeric.ops.lcm]

# 26 Algorithms library [[algorithms]](./#algorithms)

## 26.10 Generalized numeric operations [[numeric.ops]](numeric.ops#lcm)

### 26.10.15 Least common multiple [numeric.ops.lcm]

[🔗](#lib:lcm)

`template<class M, class N>
  constexpr common_type_t<M, N> lcm(M m, N n);
`

[1](#1)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L13309)

*Mandates*: M and N both are integer types other thancv bool[.](#1.sentence-1)

[2](#2)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L13314)

*Preconditions*: |m| and |n| are representable as a value of common_type_t<M, N>[.](#2.sentence-1)

The least common multiple of |m| and |n| is representable as a value of type common_type_t<M, N>[.](#2.sentence-2)

[3](#3)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L13321)

*Returns*: Zero when either m or n is zero[.](#3.sentence-1)

Otherwise, returns the least common multiple of |m| and |n|[.](#3.sentence-2)

[4](#4)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L13326)

*Throws*: Nothing[.](#4.sentence-1)