What is the Least Common Multiple of 7089 and 7107?

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 7089 and 7107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7089 and 7107, than apply into the LCM equation.

GCF(7089,7107) = 3
LCM(7089,7107) = ( 7089 × 7107) / 3
LCM(7089,7107) = 50381523 / 3
LCM(7089,7107) = 16793841

Least Common Multiple (LCM) of 7089 and 7107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7107. First we will calculate the prime factors of 7089 and 7107.

Prime Factorization of 7089

Prime Factorization of 7107

Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7107.

LCM(7089,7107) = 3¹ × 17¹ × 139¹ × 23¹ × 103¹
LCM(7089,7107) = 16793841