What is the Least Common Multiple of 37944 and 37953?

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 37944 and 37953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37944 and 37953, than apply into the LCM equation.

GCF(37944,37953) = 9
LCM(37944,37953) = ( 37944 × 37953) / 9
LCM(37944,37953) = 1440088632 / 9
LCM(37944,37953) = 160009848

Least Common Multiple (LCM) of 37944 and 37953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37944 and 37953. First we will calculate the prime factors of 37944 and 37953.

Prime Factorization of 37944

Prime Factorization of 37953

Now multiplying the highest exponent prime factors to calculate the LCM of 37944 and 37953.

LCM(37944,37953) = 2³ × 3² × 17¹ × 31¹ × 4217¹
LCM(37944,37953) = 160009848