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I think it could hit 1 million. FFXIII-2 is currently somewhere between 1 and 2 million, I forget the final figures. Lightning isn't as popular as Toriyama says she is, so she won't be selling copies by herself. We can count on it selling worse than XIII-2 though, the interest has diminished a lot since XIII's first reveal.
FFXIII-2 sold around 2.5 million the last time I checked. It might be at 3M by now I really don't know. However, I think LR will sell 1 million worldwide. Maybe 2 Million if FFXIII-2 is well liked and didn't piss many people off like the original FFXIII did.
I highly doubt LR will do better. The only people who will buy are FFXIII and Lightning fans. Maybe a few newbies as well.