What is the Least Common Multiple of 37478 and 37484?

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 37478 and 37484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37478 and 37484, than apply into the LCM equation.

GCF(37478,37484) = 2
LCM(37478,37484) = ( 37478 × 37484) / 2
LCM(37478,37484) = 1404825352 / 2
LCM(37478,37484) = 702412676

Least Common Multiple (LCM) of 37478 and 37484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37478 and 37484. First we will calculate the prime factors of 37478 and 37484.

Prime Factorization of 37478

Prime Factorization of 37484

Now multiplying the highest exponent prime factors to calculate the LCM of 37478 and 37484.

LCM(37478,37484) = 2² × 7¹ × 2677¹ × 9371¹
LCM(37478,37484) = 702412676