Integer multiple ($n=dk,k\in \mathbb{Z}$)

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 $\dots ,-24,-12,0,12,24,\dots$. 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.