Answer
The name of $LiH$ is "Lithium hydride."
Work Step by Step
1. Identify the positive ion, and name it.
$Li^+$ is the positive ion.
So, the first name of the compound will be: "Lithium."
2. Identify the negative ion, and name it.
$H^-$ is the negative ion.
This is a monoatomic anion; therefore, it will receive the element's stem name "hydr", plus the suffix "ide": "hydride"
3. Putting those two names together:
Lithium hydride.