What is the Least Common Multiple of 37375 and 37389?

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 37375 and 37389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37375 and 37389, than apply into the LCM equation.

GCF(37375,37389) = 1
LCM(37375,37389) = ( 37375 × 37389) / 1
LCM(37375,37389) = 1397413875 / 1
LCM(37375,37389) = 1397413875

Least Common Multiple (LCM) of 37375 and 37389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37375 and 37389. First we will calculate the prime factors of 37375 and 37389.

Prime Factorization of 37375

Prime Factorization of 37389

Now multiplying the highest exponent prime factors to calculate the LCM of 37375 and 37389.

LCM(37375,37389) = 5³ × 13¹ × 23¹ × 3¹ × 11² × 103¹
LCM(37375,37389) = 1397413875