The calculated distance (air line) between Nürnberg and Kempten (Allgäu) is approximately 124 miles respectively 200 kilometers.
By car or train, the actual journey to Kempten (Allgäu) is certainly longer, as only the direct route (as the crow flies) between Nürnberg and Kempten (Allgäu) has been calculated here.
Air line (approximately)
200 kilometers
108 nautical miles