What is the Least Common Multiple of 34072 and 34086?

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 34072 and 34086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34072 and 34086, than apply into the LCM equation.

GCF(34072,34086) = 2
LCM(34072,34086) = ( 34072 × 34086) / 2
LCM(34072,34086) = 1161378192 / 2
LCM(34072,34086) = 580689096

Least Common Multiple (LCM) of 34072 and 34086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34072 and 34086. First we will calculate the prime factors of 34072 and 34086.

Prime Factorization of 34072

Prime Factorization of 34086

Now multiplying the highest exponent prime factors to calculate the LCM of 34072 and 34086.

LCM(34072,34086) = 2³ × 4259¹ × 3¹ × 13¹ × 19¹ × 23¹
LCM(34072,34086) = 580689096