What is the Least Common Multiple of 37638 and 37647?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37638 and 37647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37638 and 37647, than apply into the LCM equation.

GCF(37638,37647) = 9
LCM(37638,37647) = ( 37638 × 37647) / 9
LCM(37638,37647) = 1416957786 / 9
LCM(37638,37647) = 157439754

Least Common Multiple (LCM) of 37638 and 37647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37638 and 37647. First we will calculate the prime factors of 37638 and 37647.

Prime Factorization of 37638

Prime Factorization of 37647

Now multiplying the highest exponent prime factors to calculate the LCM of 37638 and 37647.

LCM(37638,37647) = 2¹ × 3³ × 17¹ × 41¹ × 47¹ × 89¹
LCM(37638,37647) = 157439754