A component includes a carrier and a semiconductor body arranged on the carrier, wherein the semiconductor body includes a semiconductor layer facing away from the carrier, a further semiconductor layer facing the carrier and an optically active layer located therebetween, the carrier has a metallic carrier layer that is contiguous and mechanically stabilizes the component, the carrier includes a mirror layer disposed between the semiconductor body and the metallic carrier layer, the carrier has a compensating layer directly adjacent to the metallic carrier layer and is configured to compensate for internal mechanical strains in the component, and the compensating layer is arranged between the semiconductor body and the metallic carrier layer.