The calculated distance (air line) between Zürich (Kreis 2) and Luzern is approximately 22 miles respectively 36 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 2) and Luzern has been calculated here.
Air line (approximately)
36 kilometers
19 nautical miles