ok...lets explore..
2 consecutive numbers.....2 and 3.....the LCM is 6.....2 * 3 = 6....that works
2 consecutive numbers.....3 and 4....the LCM is 12....3 * 4 = 12...that works
2 consecutive numbers.....5 and 6....the LCM is 30.....5 * 6 = 30..that works
2 consecutive numbers....1 and 2....the LCM is 2....1 * 2 = 2...that works
her theory appears to be true.