A high extraction efficiency, light-emitting diode having a reflective submount and methods for forming the LED. A light-emitting region is disposed between a top contact and a conductive holder. The region extends beyond an area underlying the top contact. An omni-directional reflector is disposed between the light-emitting region and the conductive holder. According to one embodiment, the reflector comprises one or more electrically conductive contacts configured to correspond to an area beyond the area underlying the top contact. According to one embodiment, the reflector comprises a dielectric layer having a refractive index of between about 1.10 and 2.25, contacts extending through the reflector, and a reflective conductive film.