# Category:Lowest Common Multiple

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This category contains results about **Lowest Common Multiple**.

For all $a, b \in \Z: a b \ne 0$, there exists a smallest $m \in \Z: m > 0$ such that $a \divides m$ and $b \divides m$.

This $m$ is called the **lowest common multiple of $a$ and $b$**, and denoted $\lcm \set {a, b}$.

## Subcategories

This category has the following 8 subcategories, out of 8 total.

## Pages in category "Lowest Common Multiple"

The following 22 pages are in this category, out of 22 total.

### G

### I

### L

- LCM Divides Common Multiple
- LCM equals Product iff Coprime
- LCM from Prime Decomposition
- LCM from Prime Decomposition/General Result
- LCM iff Divides All Common Multiples
- LCM of 3 Integers in terms of GCDs of Pairs of those Integers
- LCM of Three Numbers
- Lowest Common Multiple is Associative
- Lowest Common Multiple of Consecutive Integers
- Lowest Common Multiple of Consecutive Odd Integers
- Lowest Common Multiple of Integers with Common Divisor