MLE capped by the parameter range

Let $5,10,4,15,6$ be an observed random sample of size 5 from a distribution with probability density function $$f(x;\theta)=\begin{cases}e^{-(x-\theta)},&x\ge\theta\\0,&\text{otherwise}\end{cases}$$ $\theta\in(-\infty,3]$ is unknown. Then, the maximum likelihood estimate of $\theta$ based on the observed sample is equal to __________.