Min and rec tech specs to run the game?

Going to be gone for a while and need a cheap laptop to feed my addiction. Already have a desktop a wee bit overbuilt for league as it is, so im just looking for suggestions on the cheapest laptop that will reliably run league for 6-9 months. Or the min and mid specs i should be looking for. Not sure if this is the right board, thank you in advance for all help and input.
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