There is no doubt LTC will climb working hand in hand with King BTC.
The next time BTC moons, expect LTC to moon with it. Additionally it's very likely we will continue to see the LTC to BTC ratio improve -- LTC is massively undervalued right now. As others have said there isn't enough BTC for every millionaire in the world to own one. Nor is there enough LTC, however, if BTC becomes cost prohibitive to even the rich, it makes sense that they will diversify into another similar coin. LTC has bright days ahead of it.