A lamp has an LED, a base, and a reflector. The base is rigidly connected to the LED and has a base contact surface. The reflector, which can be connected to the base, has a reflector contact surface, an entry opening, an exit opening, and a longitudinal direction (L) that runs from the exit opening to the entry opening. The reflector contact surface is arranged in the longitudinal direction (L) between the entry opening and the exit opening, and the base contact surface abuts the reflector contact surface. Thus, movement of the base and/or reflector towards each other is prevented when the reflector is connected to the base. The reflector is formed in such a way that a projection of the reflector contact surface in the longitudinal direction (L) of the reflector is free of undercuts.