There is no "correct" price for LTC or any cryptocurrency.
If demand grows, price can go up to anything.
If demand shrinks, price can go down to anything.
With more people having access to the LTC market (like over 600,000 people on MtGox) price could go up to anywhere between 5 and 50 Dollars, I guess.
There are now 18.7M LTC vs 11.3M BTC
but there is always miners securing the network, which must gain some profit over their utility bills and hardware cost, in fact the network hash rate and the coin price are major factors as well (beside other things) to look at for the success of a coin, this is why BTC is so special. and i believe that LTC will take the same road of BTC, i do not know if it will be as successful as BTC is, but it will have its spot as well