English and Scottish, derived in the late 19th century from Ludovicus, the Latinised form of the Old German Chlodovic, "famous warrior". See Ludwig for other variants.
The spelling Ludovic - the modern British version - does not occur in the 1841 Census of Aberdeenshire; Ludovick and Ludevick are both there, albeit rare.
The FreeREG List of Latin Equivalents links the Latin Ludovicus in old documents [with appropriate case endings] with its modern derivative, Louis/Lewis.
There are examples of at least two men called both Lewis and Ludovick on Parish records in Aberdeenshire. We therefore believe that Lewis/Louis and Ludovic/Ludovick should be considered to be synonyms in Scotland at least.