The calculated distance (air line) between Luxeuil-les-Bains and Besançon is approximately 42 miles respectively 68 kilometers.
By car or train, the actual journey to Besançon is certainly longer, as only the direct route (as the crow flies) between Luxeuil-les-Bains and Besançon has been calculated here.
Air line (approximately)
68 kilometers
37 nautical miles