Each small sidewall between the facets may include knurling to disperse any light that strikes the sidewall. In addition, each facet 39 of the reflector is positioned directly across from one of the LEDs 14 on the LED carrier and corresponds to that LED. In this manner, each reflector facet is designed to transform light from its associated LED into a desired portion of the total light beam emitted from the lamp 10. The LED seats 37 on the LED carrier 13 are properly positioned such that when a LED is placed in one of the LED seats, it is properly oriented with respect to the corresponding reflector facet. Typically, the LEDs are positioned directly opposed to the reflector facets (i.e., the optical axis of the LED is substantially perpendicular to the centerline of the facet such that the optical axis of the LED passes through the focus of the reflector). The LED carrier 13 is removed a sufficient distance from the reflector to allow each LED to be positioned substantially at the focal point of one of the plurality of facets.