Least Common Multiple(LCM) is the smallest positive number divisible by all the denominators of a list of fractions.The LCM of two numbers is the smallest number (not zero) that is a multiple of both.For example multiples of 3 are 0,3,6,9,12,15,18,21,24 etc.. then multiples of 4 are 0,4,8,12,16,20,24,28 etc.So the common multiple of 3 and 4 is 12.