What is the Least Common Multiple of 37089 and 37095?

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 37089 and 37095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37089 and 37095, than apply into the LCM equation.

GCF(37089,37095) = 3
LCM(37089,37095) = ( 37089 × 37095) / 3
LCM(37089,37095) = 1375816455 / 3
LCM(37089,37095) = 458605485

Least Common Multiple (LCM) of 37089 and 37095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37089 and 37095. First we will calculate the prime factors of 37089 and 37095.

Prime Factorization of 37089

Prime Factorization of 37095

Now multiplying the highest exponent prime factors to calculate the LCM of 37089 and 37095.

LCM(37089,37095) = 3² × 13¹ × 317¹ × 5¹ × 2473¹
LCM(37089,37095) = 458605485