Preheat your oven to 400°F. Grease a 18x13 inch sheet pan. Whisk dry ingredients into a large bowl. In another bowl, beat eggs, cinnamon, nutmeg, sour cream, vanilla, and cloves. Pour wet ingredients into the dry ingredients and mix well. In a saucepan, boil butter, water, and apple butter to a light boil. Add to the cake batter, mixing well.
Pour the batter into the prepared sheet pan, spreading it evenly. Bake for 20-25 minutes. Start making the frosting: Melt butter, apple butter, and milk over medium heat, until reaching a light boil. In a large mixing bowl or stand mixer bowl, combine powdered sugar, vanilla extract, cinnamon, and nutmeg until no lumps. Mix in the butter mixture, combining until smooth. Spread warm frosting over warm cake.
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