What is the Least Common Multiple of 37044 and 37056?

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 37044 and 37056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37044 and 37056, than apply into the LCM equation.

GCF(37044,37056) = 12
LCM(37044,37056) = ( 37044 × 37056) / 12
LCM(37044,37056) = 1372702464 / 12
LCM(37044,37056) = 114391872

Least Common Multiple (LCM) of 37044 and 37056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37044 and 37056. First we will calculate the prime factors of 37044 and 37056.

Prime Factorization of 37044

Prime Factorization of 37056

Now multiplying the highest exponent prime factors to calculate the LCM of 37044 and 37056.

LCM(37044,37056) = 2⁶ × 3³ × 7³ × 193¹
LCM(37044,37056) = 114391872