# Contents

## Definition

For $a,b\in ℕ$ two positive natural numbers, their least common multiple $\mathrm{LCM}\left(a,b\right)\in ℕ$ is the smallest natural number that is divisible by both $a$ and $b$, i.e. such that there exist ${n}_{a},{n}_{n}\in ℕ$ with ${n}_{a}\cdot a={n}_{b}\cdot b=\mathrm{LCM}\left(a,b\right)$.

• greatest common divisor?

Created on September 5, 2012 16:10:58 by Urs Schreiber (131.174.191.191)