You Do Need power plug adapter while traveling from Lesotho to Central African Republic.

Here is Why You Need An Adapter

The outlet and plug type used in Central African Republic are C and E and in Lesotho is M. This is how they look like.

Lesotho

In Lesotho, outlets of type M are in use.

Type M

Central African Republic

In Central African Republic, outlets of type C and E are in use.

Type C

Type E