The calculated distance (air line) between Zürich (Kreis 7) / Witikon and Luzern is approximately 25 miles respectively 40 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 7) / Witikon and Luzern has been calculated here.
Air line (approximately)
40 kilometers
22 nautical miles