There are 2 train companies operating 3 routes - IC26, KBS 175, R21;KBS 145. The cheapest train costs $85 and is 3h 17min.
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There are 4 ways to travel from LBC to HAJ. 1 flight, 3 trains, 4 buses and 1 by car are possible between the two areas. The by car from LBC to HAJ is the cheapest. The by car from LBC to HAJ is the fastest. The train operated by running from Lubeck to Langenhagen is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!