What is the Least Common Multiple of 37647 and 37657?

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 37647 and 37657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37647 and 37657, than apply into the LCM equation.

GCF(37647,37657) = 1
LCM(37647,37657) = ( 37647 × 37657) / 1
LCM(37647,37657) = 1417673079 / 1
LCM(37647,37657) = 1417673079

Least Common Multiple (LCM) of 37647 and 37657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37647 and 37657. First we will calculate the prime factors of 37647 and 37657.

Prime Factorization of 37647

Prime Factorization of 37657

Now multiplying the highest exponent prime factors to calculate the LCM of 37647 and 37657.

LCM(37647,37657) = 3² × 47¹ × 89¹ × 37657¹
LCM(37647,37657) = 1417673079