A coupling system for mounting a cutting apparatus to a machine tool having a cutting apparatus and an adapter. The cutting apparatus has a first mounting flange having either a central bore or a central boss. The adapter has a second mounting flange having the other of a central bore or a central boss. The central boss on one of the mounting flanges forms a mating engagement with the central bore of the other mounting flange to align the two mounting flanges at a common center when the cutting apparatus is connected to the adapter. Additionally, each mounting flange may have at least one of a post or a groove located between an outer perimeter of the mounting flange and the central bore or central boss. When the cutting apparatus is connected to the adapter, at least one of the posts forms a mating engagement with a corresponding groove.