What is the Least Common Multiple of 84312 and 84317?

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 84312 and 84317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84312 and 84317, than apply into the LCM equation.

GCF(84312,84317) = 1
LCM(84312,84317) = ( 84312 × 84317) / 1
LCM(84312,84317) = 7108934904 / 1
LCM(84312,84317) = 7108934904

Least Common Multiple (LCM) of 84312 and 84317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84312 and 84317. First we will calculate the prime factors of 84312 and 84317.

Prime Factorization of 84312

Prime Factorization of 84317

Now multiplying the highest exponent prime factors to calculate the LCM of 84312 and 84317.

LCM(84312,84317) = 2³ × 3² × 1171¹ × 84317¹
LCM(84312,84317) = 7108934904