What is the Least Common Multiple of 30089 and 30099?

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 30089 and 30099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30089 and 30099, than apply into the LCM equation.

GCF(30089,30099) = 1
LCM(30089,30099) = ( 30089 × 30099) / 1
LCM(30089,30099) = 905648811 / 1
LCM(30089,30099) = 905648811

Least Common Multiple (LCM) of 30089 and 30099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30089 and 30099. First we will calculate the prime factors of 30089 and 30099.

Prime Factorization of 30089

Prime Factorization of 30099

Now multiplying the highest exponent prime factors to calculate the LCM of 30089 and 30099.

LCM(30089,30099) = 30089¹ × 3¹ × 79¹ × 127¹
LCM(30089,30099) = 905648811