Category:Examples of Use of Intersection of Sets of Integer Multiples

This category contains examples of use of Intersection of Sets of Integer Multiples.

Let $m, n \in \Z$ such that $m n \ne 0$.

Let $m \Z$ denote the set of integer multiples of $m$.

Then:

$m \Z \cap n \Z = \lcm \set {m, n} \Z$

where $\lcm$ denotes lowest common multiple.