What is the Least Common Multiple of 58089 and 58109?

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 58089 and 58109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58089 and 58109, than apply into the LCM equation.

GCF(58089,58109) = 1
LCM(58089,58109) = ( 58089 × 58109) / 1
LCM(58089,58109) = 3375493701 / 1
LCM(58089,58109) = 3375493701

Least Common Multiple (LCM) of 58089 and 58109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58089 and 58109. First we will calculate the prime factors of 58089 and 58109.

Prime Factorization of 58089

Prime Factorization of 58109

Now multiplying the highest exponent prime factors to calculate the LCM of 58089 and 58109.

LCM(58089,58109) = 3¹ × 17² × 67¹ × 58109¹
LCM(58089,58109) = 3375493701