  The main aim of the article is to find the Schur multiplier and the Lie
exterior square of some finite multiplicative Lie algebras. For a non abelian
simple group $K$ with trivial Schur multiplier, we see that the Schur
multiplier of multiplicative Lie algebra $K$ is trivial and the Lie exterior
square of $K$ is an improper multiplicative Lie algebra $K.$
