What is the Least Common Multiple of 34089 and 34104?

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 34089 and 34104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34089 and 34104, than apply into the LCM equation.

GCF(34089,34104) = 3
LCM(34089,34104) = ( 34089 × 34104) / 3
LCM(34089,34104) = 1162571256 / 3
LCM(34089,34104) = 387523752

Least Common Multiple (LCM) of 34089 and 34104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34089 and 34104. First we will calculate the prime factors of 34089 and 34104.

Prime Factorization of 34089

Prime Factorization of 34104

Now multiplying the highest exponent prime factors to calculate the LCM of 34089 and 34104.

LCM(34089,34104) = 3¹ × 11¹ × 1033¹ × 2³ × 7² × 29¹
LCM(34089,34104) = 387523752