Lighting system

A system of luminaires for illuminating a building surface, comprising:

• a first luminaire having a housing and having a collimating optics, the first luminaire being fixed on the housing in a mounting position, wherein the collimating optics is associated with a set position for a light source, and having a printed circuit board on which at least one LED is arranged in the set position, wherein the LED emits light from the set position and radiates said light into the collimating optics;
• and a second luminaire having a structurally identical housing and having a structurally identical collimating optics, the second luminaire being fixed on the housing in the same mounting position, wherein the collimating optics is associated with the same set position, and having a printed circuit board and having a light guide that is fixed relative to the printed circuit board, wherein at least two LEDs are arranged on the printed circuit board, which LEDs radiate their light into the light guide, wherein the light guide supplies the light, emitted from the two LEDS, in a mixed form to a light emission surface of the light guide, wherein the light emission surface is arranged at the set position, and wherein the light guide radiates the mixed light from the light emission surface into the collimating optics.