Frosted Pumpkin Doughnuts

In a mixing bowl, beat eggs, sugar and butter. Add pumpkin and lemon juice; mix well. Combine flour, baking powder, baking soda, salt, cinnamon and nutmeg; add to pumpkin mixture alternately with milk. Cover and refrigerate for 2 hours. Turn onto a lightly floured surface; knead 5-6 times. Roll to 3/8-in. thickness. Cut with a 2-1/2-in. doughnut cutter. In an electric skillet or deep-fat fryer, heat oil to 375 degrees F. Fry doughnuts, a few at a time, until golden, about 3 minutes; turn once with a slotted spoon. Drain on paper towels. Combine frosting ingredients; spread over cooled doughnuts.