Definition:Lowest Common Multiple/Integral Domain

Definition
Let $D$ be an integral domain and let $a, b \in A$ be nonzero.

Then $l$ is the lowest common multiple of $a$ and $b$ if:
 * $(1): \quad$ both $a$ and $b$ divide $l$
 * $(2): \quad$ if $m$ is another element such that $a$ and $b$ divide $m$, then $l$ divides $m$.

Also known as
The lowest common multiple is also known as the least common multiple.

The notation $\operatorname{lcm} \left\{{a, b}\right\}$ can be found written as $\left [{a, b} \right]$.

This usage is not recommended as it can cause confusion.