Gingerbread Loaf with Cinnamon Cream Cheese Frosting

I love all things gingerbread! Well except the gingerbread latte, that does not sound good to me at all. But gingerbread cookies, gingerbread muffins, gingerbread loaf, all of it. I feel like it's highly underrated and that makes me sad, it deserves a lot more love.  I adapted this recipe from Le Creme De La Crumb.

1 1/2 cups flour
2 tsp cinnamon
1 tsp ground cloves
2 1/4 tsp ground ginger
1 tsp salt
1/2 cup butter (softened)
1 cup sugar
1 cup unsweetened applesauce

3 tbsp butter
3 oz cream cheese
3 cups powdered sugar
1/2 tsp vanilla extract
1/4 tsp cinnamon
4-5 tbsp milk

Heat oven to 350. Grease a 9x5 loaf pan.  In a bowl whisk together the flour, cinnamon, ground cloves, ground ginger and salt.  In a separate bowl cream together the butter, sugar and applesauce. Stir the dry ingredients into the wet until combined. Pour into the loaf pan and bake for 45-55 minutes or until a toothpick comes out clean. Remove from oven and let rest for 5 minutes then flip out of the pan and let cool on a wire rack. When the loaf has cooled completely, make your frosting. In a medium size mixing bowl cream together the butter and cream cheese then add in the sugar, cinnamon, vanilla extract and milk until it reaches the desirable consistency.  Spread over the loaf and serve.