What is the LCM of 44 and 12?

Answer 1

Find LCM(44,12).

Method 1 (Recommended):

44 = 2 x 2 x 11

12 = 2 x 2 x 3

GCF(44,12) = 2 x 2 = 4

LCM(44,12) = (44 x 12) / GCF(44,12)

LCM(44,12) = (44 x 12) / 4

LCM(44,12) = 528 / 4

LCM(44,12) = 132

To check if this is the true LCM:

132/44 = 3

132/12 = 11

If this is the true LCM, the GCF of these two new numbers (3 and 11) will be 1.

GCF(3,11) =? 1

GCF(3,11) = 1

Yes, this is true because both 3 and 11 are prime numbers. The LCM is correct.

Method 2:

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132

44: 44, 88, 132, 176

Answer 2

132