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

Here is Why You Need An Adapter

The outlet and plug type used in Iraq are C, D and G and in Lesotho is M. This is how they look like.

Lesotho

In Lesotho, outlets of type M are in use.

Type M

Iraq

In Iraq, outlets of type C, D and G are in use.

Type C

Type D

Type G