The calculated distance (air line) between Alytus and Dainava (Kaunas) is approximately 36 miles respectively 58 kilometers.
By car or train, the actual journey to Dainava (Kaunas) is certainly longer, as only the direct route (as the crow flies) between Alytus and Dainava (Kaunas) has been calculated here.
Air line (approximately)
58 kilometers
31 nautical miles