Embodiments of a lighting apparatus with a light source using one or more light emitting diodes (LEDs) to generate light. In one embodiment, the lighting apparatus comprises a light diffusing assembly that generates an optical intensity profile consistent with incandescent lamps. The light diffusing assembly comprises an envelope and a reflector element having frusto-conical member and an aperture element disposed therein. The lighting apparatus can also comprise a heat dissipating assembly with a plurality of heat dissipating elements disposed annularly about the envelope. In one example, the heat dissipating elements are spaced apart from the envelope to promote convective heat dissipation.