Zest two lemons and combine with a tablespoon of sugar. Put this on a plate and set it aside to rim glasses later.
Juice lemons to get 3/4 of a cup of lemon juice. Reserve a few lemon slices for garnishing.
In a blender, combine sugar, coconut milk, lemon juice, water, and mint.
Blend until the mint is finely chopped.
Let it sit for 5 minutes and then strain into a pitcher.
Rub rims of glasses with a lemon wedge. Then dip the glasses in the lemon zest and sugar mixture.
Fill glasses with ice, pour in the coconut lemonade and garnish with a sprig of mint and a lemon slice.
If you have lemon zest and sugar left over, add it to the pitcher of lemonade for extra flavor!