The calculated distance (air line) between Zürich (Kreis 10) and Luzern is approximately 26 miles respectively 42 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 10) and Luzern has been calculated here.
Air line (approximately)
42 kilometers
23 nautical miles