What is the Least Common Multiple of 7089 and 7102?

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 7102 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 7102, than apply into the LCM equation.

GCF(7089,7102) = 1
LCM(7089,7102) = ( 7089 × 7102) / 1
LCM(7089,7102) = 50346078 / 1
LCM(7089,7102) = 50346078

Least Common Multiple (LCM) of 7089 and 7102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7102. First we will calculate the prime factors of 7089 and 7102.

Prime Factorization of 7089

Prime Factorization of 7102

Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7102.

LCM(7089,7102) = 3¹ × 17¹ × 139¹ × 2¹ × 53¹ × 67¹
LCM(7089,7102) = 50346078