You Do Need power plug adapter while traveling from Libya to Lesotho.

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Lesotho

In Lesotho, outlets of type M are in use.

Type M