A luminaire which has at least one first LED light source for emitting a first light, at least one first light-directing element for influencing the direction of the first light, at least one second LED light source for emitting a second light, and at least one second light-directing element for influencing the direction of the second light. The first light-directing element is in this case configured in such a way that it affects an asymmetric light output of the first light. The second light-directing element has an identical configuration to the first light-directing element and is arranged in a position rotated through 180° relative to the first light-directing element. When the first LED light source is switched ON and the second LED light source is switched OFF, an asymmetrical light output which is particularly suitable as task lighting can be achieved by the luminaire.