Example of a local ring which is not an integral domain

Question

Ring of integers is an integral domain which is not a local ring. Ring of p adic numbers is a local ring which is also an integral domain. Are there any example of a local ring which is not an integral domain? Thank you in advance!

Answer 1

For example, $\mathbb Z/4\mathbb Z$.

In general, $R/M^n$ where $M$ is a maximal ideal and $R$ is commutative will be an example, as long as $M\neq \{0\}$.