What is the Least Common Multiple of 58089 and 58108?

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 58108 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 58108, than apply into the LCM equation.

GCF(58089,58108) = 1
LCM(58089,58108) = ( 58089 × 58108) / 1
LCM(58089,58108) = 3375435612 / 1
LCM(58089,58108) = 3375435612

Least Common Multiple (LCM) of 58089 and 58108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58089 and 58108. First we will calculate the prime factors of 58089 and 58108.

Prime Factorization of 58089

Prime Factorization of 58108

Now multiplying the highest exponent prime factors to calculate the LCM of 58089 and 58108.

LCM(58089,58108) = 3¹ × 17² × 67¹ × 2² × 73¹ × 199¹
LCM(58089,58108) = 3375435612