Recently I started studying Czech and I learned the word "lék", pill/medicine and "lékař", doctor/physician. In Polish there is a similar one. They bear a superficial resemblance with Swedish "läke" and, since I have not been able to find a slavic etymology, I was wondering if this could be a germanic loanword.
I was guessing that, if this was a relatively recent loanword, it should have been from German to Czech, but, since I do not recall any similar word in German, maybe this could be a very old loanword from Proto-germanic to Proto-slavic, or something of the like?. My only reference is that other languages (like Finnish) indeed borrowed the word for "medicin" from germanic languages (lääke, in modern Finnish)

Also, I would love to know if there is some sort of digitalized database or something of the like where such things can be checked. I have no formation in linguistics and I don't know many resources.

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    It is indeed a Germanic loan. Wiktionary has the loan as being from Gothic rather than Proto-Germanic, though I don’t recall any particular reason off-hand why this should be so. It’s that general area and time frame, though, not modern German. Oct 23, 2020 at 21:17
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    Wiktionary as @JanusBahsJacquet said, both English and also in other languages, like Russian. As far as I know, you're correct that there is no cognate in modern standard German. Oct 24, 2020 at 7:24
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    I wouldn't exclude the possibility of Thracian origin.
    – zigzag
    Oct 24, 2020 at 8:28
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    This was already discussed at linguistics.stackexchange.com/questions/36697/… Oct 24, 2020 at 17:51