# Category:Lowest Common Multiple

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 5 subcategories, out of 5 total.

### E

### I

### L

### P

## Pages in category "Lowest Common Multiple"

The following 20 pages are in this category, out of 20 total.

### G

### I

### L

- LCM Divides Common Multiple
- 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 Coprime 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