What is the Least Common Multiple of 7089 and 7100?

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 7100 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 7100, than apply into the LCM equation.

GCF(7089,7100) = 1
LCM(7089,7100) = ( 7089 × 7100) / 1
LCM(7089,7100) = 50331900 / 1
LCM(7089,7100) = 50331900

Least Common Multiple (LCM) of 7089 and 7100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7100. First we will calculate the prime factors of 7089 and 7100.

Prime Factorization of 7089

Prime Factorization of 7100

Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7100.

LCM(7089,7100) = 3¹ × 17¹ × 139¹ × 2² × 5² × 71¹
LCM(7089,7100) = 50331900