The calculated distance (air line) between Zürich (Kreis 12) and Luzern is approximately 27 miles respectively 44 kilometers.
By car or train, the actual journey to Luzern is certainly longer, as only the direct route (as the crow flies) between Zürich (Kreis 12) and Luzern has been calculated here.
Air line (approximately)
44 kilometers
24 nautical miles