The statement is not always true. For Example... The LCM of 6 and 8 is not the product of the two numbers 6*8= 48 48 is not the LEAST common multiple Multiples of 6 are... 6,12,18,24,30,36,42,48... Multiples of 8 are.... 8,16,24,32,40,48... The least common multiple is 24 not 48 even though they are both common multiples.