Catalyzes the stereospecific oxidation of D-lactate to pyruvate. (R)-lactate + 2 Fe(III)-[cytochrome c] = 2 Fe(II)-[cytochrome c] + 2 H(+) + pyruvate Binds 2 FAD. Binds 4 to 6 Zn(2+) ions. Belongs to the FAD-binding oxidoreductase/transferase type 4 family.