COLUMBIA, South Carolina, May 6 (Reuters) - Finishing the battle against inflation will likely require a hit to demand, after a year in which price pressures cooled largely through improvements in the supply side of the economy with virtually no change in the unemployment rate, Richmond Federal Reserve President Thomas Barkin said on Monday.

"We got a lot of benefit last year on the supply side ... I do tend to imagine that we're going to need a little more edge off of demand to get all the way" back to 2% inflation, Barkin said in comments to reporters. (Reporting by Howard Schneider Editing by Chris Reese)