LED based lamps and bulbs are disclosed that comprise a pedestal having a plurality of LEDs, wherein the pedestal at least partially comprises a thermally conductive material. A heat sink structure is included with the pedestal thermally coupled to the heat sink structure. A remote phosphor is arranged in relation to the LEDs so that at least some light from the LEDs passes through the remote phosphor and is converted to a different wavelength of light. Some lamp or bulb embodiments can emit a white light combination of light from the LEDs and the remote phosphor. These can include LEDs emitting blue light with the remote phosphor having a material that absorbs blue light and emits yellow or green light. A diffuser can be included to diffuse the emitting light into the desired pattern, such as omnidirectional.