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

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in Bahamas are A and B. This is how they look like.

Bahamas

In Bahamas, outlets of type A and B are in use.

Type A

Type B

Lesotho

In Lesotho, outlets of type M are in use.

Type M