What is the Least Common Multiple of 37944 and 37959?

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 37959 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 37959, than apply into the LCM equation.

GCF(37944,37959) = 3
LCM(37944,37959) = ( 37944 × 37959) / 3
LCM(37944,37959) = 1440316296 / 3
LCM(37944,37959) = 480105432

Least Common Multiple (LCM) of 37944 and 37959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37944 and 37959. First we will calculate the prime factors of 37944 and 37959.

Prime Factorization of 37944

Prime Factorization of 37959

Now multiplying the highest exponent prime factors to calculate the LCM of 37944 and 37959.

LCM(37944,37959) = 2³ × 3² × 17¹ × 31¹ × 12653¹
LCM(37944,37959) = 480105432