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

Here is Why You Need An Adapter

The outlet and plug type used in Equatorial Guinea 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

Equatorial Guinea

In Equatorial Guinea, outlets of type C and E are in use.

Type C

Type E