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

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in Switzerland are C and J. This is how they look like.

Switzerland

In Switzerland, outlets of type C and J are in use.

Type C

Type J

Lesotho

In Lesotho, outlets of type M are in use.

Type M