Integer multiple
= Integer multiple
{title2=$n=dk,\quad k\in\mathbb Z$}
An integer multiple of an <integer> $d$ is a <product> $dk$ with $k$ an <integer>; equivalently, $d$ is a <divisor> of that <product>. The <integer multiples> of $12$ are $\ldots,-24,-12,0,12,24,\ldots$. Zero is an <integer multiple> of every <integer>, and the only <integer multiple> of zero is zero. Shared positive <integer multiples> lead to the <least common multiple>.