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This is exactly my path when I use Coinbase to move money to Bittrex. LTC has become my carrier of choice at the moment.

oh crap, i been moving Ether. So litecoin is cheaper?

I haven't compared fees, but I do know that 9 out of 10 times Litecoin is much faster. I've never had a LTC transfer take over 20 minutes. On the other hand, I've had ETH transfers take over 2 hours on several occasions.