The calculated distance (air line) between Munich and Kempten (Allgäu) is approximately 65 miles respectively 105 kilometers.
By car or train, the actual journey to Kempten (Allgäu) is certainly longer, as only the direct route (as the crow flies) between Munich and Kempten (Allgäu) has been calculated here.
Air line (approximately)
105 kilometers
56 nautical miles