A lighting module comprises a heat sink with a body portion and a protrusion portion protruding from the body portion into a forward direction. An LED element is mounted on a mounting surface of the protrusion portion. The mounting surface is arranged facing partially backwards and forming an angle of 5-45° to the forward direction. An electrical plug connector is provided within the body portion's cavity and is electrically connected to the LED element. In the lighting system, a reflector assembly comprises a concave reflector with an inner reflector space. A lighting module is arranged such that its protrusion portion projects into the inner reflector space. Light emitted from the LED element is reflected by the reflector. The body portion is arranged outside of the reflector space. The lighting module may be replaced by separating the lighting module from the reflector assembly and providing a new lighting module.