A lighting device includes a light source including at least two light-emitting diode chips which emit light of mutually differing colors when in operation, and an optical element in the form of a solid body made from a dielectric material including a radiation entrance face facing towards the light-emitting diode chips, a radiation exit face remote from the light-emitting diode chips, and a circumferential face connecting the radiation entrance face and the radiation exit face to one another, wherein the circumferential face is reflective to the light emitted by the light-emitting diode chips when in operation, and the radiation entrance face and/or the radiation exit face is/are non-planar at least in places, wherein a gap, which is filled with a gas, is arranged between at least one of the light-emitting diode chips of the light source and the radiation entrance face, and the optical element is a sole optical element of the lighting device, which optical element is arranged downstream of all light-emitting diode chips of the light source.