In a small bowl, combine the brown sugar and cinnamon. Set aside.

Cut 10 thin slices from the sweet apple and set the slices aside. Core and dice the remaining sweet apple and the tart apples. In a medium bowl, combine the diced apples, raisins and 1 tablespoon of the brown sugar mixture. Set aside.

Place the apple juice in the slow cooker, then add the ham, flat side down. Sprinkle the ham with the remaining brown sugar mixture, pressing it to adhere. Scatter the diced apple mixture around the ham. Arrange the apple slices over the surface of the ham, securing each slice with a clove. Cover and cook on low for 6 to 8 hours or high for 4 to 5 hours, until the ham is heated through and the apples are tender. Transfer the ham to a cutting board and let it rest 15 to 30 minutes.

Meanwhile, strain the apple mixture in the slow cooker, reserving the solids.

Thinly slice the ham. Serve with the strained apple mixture on the side.

*Use a 6- to 7-quart slow cooker.