What is the Least Common Multiple of 64089 and 64095?

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 64089 and 64095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64089 and 64095, than apply into the LCM equation.

GCF(64089,64095) = 3
LCM(64089,64095) = ( 64089 × 64095) / 3
LCM(64089,64095) = 4107784455 / 3
LCM(64089,64095) = 1369261485

Least Common Multiple (LCM) of 64089 and 64095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64089 and 64095. First we will calculate the prime factors of 64089 and 64095.

Prime Factorization of 64089

Prime Factorization of 64095

Now multiplying the highest exponent prime factors to calculate the LCM of 64089 and 64095.

LCM(64089,64095) = 3² × 7121¹ × 5¹ × 4273¹
LCM(64089,64095) = 1369261485