A light mixing and folding lamp includes an LED assembly with two or more LED chips that direct light into the ingress end of a light mixing rod. The light mixing rod is positioned to pass through an aperture in a concave second reflecting element, and mixed light emerges from the egress end of the light mixing rod, where it is directed toward a first reflecting element positioned near a focal point of the second reflecting element. The first reflecting element reflects mixed light emerging from the egress end of the light mixing rod, folding the mixed light back toward a concave reflecting surface of the second reflecting element. The second reflecting element reflects light from the first reflecting element forward, where the light emerges from the lamp directed toward a subject to be illuminated.