What is the LCM of 30 and 35?

Answer 1

5 or 1

5 would be the greatest common factor (GCF) but the LCM (Least Common Multiple) is found by either listing factors of both numbers, or by prime factorization.

The prime factorization method:

30 = 2*3*5

35 = 5*7

So the LCM = 2*3*5*7 = 210

Note that 210/30 = 7 and 210/35 = 6 so both numbers, 30 and 35 are factors of 210.

The listing method:

30,60,90,120,150,180,210

35,70,105,140,175,210

So 210 is the first (least) number that is a multiple of 30 and 35

Answer 2

210