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

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in Western Sahara are C and E. This is how they look like.

Western Sahara

In Western Sahara, outlets of type C and E are in use.

Type C

Type E

Lesotho

In Lesotho, outlets of type M are in use.

Type M