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

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in South Sudan are C and D. This is how they look like.

South Sudan

In South Sudan, outlets of type C and D are in use.

Type C

Type D

Lesotho

In Lesotho, outlets of type M are in use.

Type M