What is the Least Common Multiple of 37038 and 37044?

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 37038 and 37044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37038 and 37044, than apply into the LCM equation.

GCF(37038,37044) = 6
LCM(37038,37044) = ( 37038 × 37044) / 6
LCM(37038,37044) = 1372035672 / 6
LCM(37038,37044) = 228672612

Least Common Multiple (LCM) of 37038 and 37044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37038 and 37044. First we will calculate the prime factors of 37038 and 37044.

Prime Factorization of 37038

Prime Factorization of 37044

Now multiplying the highest exponent prime factors to calculate the LCM of 37038 and 37044.

LCM(37038,37044) = 2² × 3³ × 6173¹ × 7³
LCM(37038,37044) = 228672612