What length chain will I need?

I want to go up a few teeth on my rear sprocket. I was thinking 46 or 47. My stock chain is all rusted and squeaks with neglect so I'm just going to replace it with an x-ring chain from DID or Primary Drive or well, whoever. I did a little searching but the only thing I really found out was the stock link count is 108. Will 108 cover a 46 or 47 tooth? Or should I get a 110? Or am I way off? :ride:

110 links

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