Peel mangos and remove edible fruit, leaving the core alone.
Place mango into food processor and and puree until smooth.
Place butter into bowl of stand mixer with sugar and vanilla. Turn the mixer on the lowest setting until the sugar starts to incorporate into the butter.
Slowly add mango puree, about 1/4 cup to start, and then turn the mixer on medium-high speed. Add more mango puree as needed to achieve your desired consistency. Mix frosting for two minutes, stop to scrape down the sides and bottom, and then mix for one more minute.