Make the lemon simple syrup by putting one cup sugar into a small sauce pan. Zest the lemons over the sugar.
Juice two lemons into a measuring cup. Top the lemon juice with water so that you have one cup liquid.
Combine the liquid and the sugar and bring to a boil over low heat, stirring until well combined.
Strain the simple syrup to remove the zest.
Cool before using in the drink.
To make your mojito, in the bottom of a glass muddle the ginger, mint, and simple syrup (I used the end of an ice cream scoop and it worked beautifully).
Add ice to the glass.
Pour in the rum and then top with the soda, stir well to combine.