An LED light source (10) has a housing (12) with a base (14) and a hollow core (16) projecting from the base (14), the core (16) being substantially conical. A first printed circuit board (18) is fitted to the base (14). A second printed circuit board (20) is fitted to the narrow end (22) of the core (16), the second printed circuit board (20) having at least one LED (24) operatively fixed thereto. A plurality of electrical conductors 26 is provided having proximal ends (28) attached to and extending from the second printed circuit board (20) and distal ends (30) attached to and projecting through the first printed circuit board (18). A cap (32) is fitted over the second printed circuit board (20) and a heat sink (34) is attached to the base (14) and in contact with the distal ends (30) of the electrical conductors (26). The housing (12) is provided with flanges for engaging a suitable opening in the rear of a reflector.