If you're reapplying to some of the same schools you applied to in the previous cycle, some of them will still have your LORs on file anyway.
Also, I think it would be a good idea to have someone review your LORS if possible. They may not reflect how strong of a candidate you really are.
From past experience, that was my case. I had one really good letter from my gen chem professor who I had worked closely with, but a so-so letter from my O-chem professor. I truly believe that the addition of another LOR to my application this year from a doctor I have worked with closely for almost a year and a half now, who could see first-hand what my real strengths are, helped get me so many interviews.
Well, that and I'm about to finish a master's program.