Minimum of Three Identical Exponentials

Let $X_1, X_2, X_3$ be independent, each $\operatorname{Exp}(4)$. Find the distribution of $M = \min(X_1, X_2, X_3)$ and compute $E[M]$. Then verify: given that $M > 2$, use memorylessness to find $E[M \mid M > 2]$.