Who won thwe battle of lexington and concord?

No one at Lexington. The shots were fired and a skirmish followed, but the troops moved on after a bit to Concord. By the time they reach Concord the whole area had the news about the shots being fired at Lexington. At Concord Bridge shots were fired and again a skirmish followed. Yet, the colonist followed the British all the way back to Boston firing shots at them all the way. I would say they had the upper hand against the British.