What is the Least Common Multiple of 80312 and 80317?

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 80312 and 80317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80312 and 80317, than apply into the LCM equation.

GCF(80312,80317) = 1
LCM(80312,80317) = ( 80312 × 80317) / 1
LCM(80312,80317) = 6450418904 / 1
LCM(80312,80317) = 6450418904

Least Common Multiple (LCM) of 80312 and 80317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80312 and 80317. First we will calculate the prime factors of 80312 and 80317.

Prime Factorization of 80312

Prime Factorization of 80317

Now multiplying the highest exponent prime factors to calculate the LCM of 80312 and 80317.

LCM(80312,80317) = 2³ × 10039¹ × 80317¹
LCM(80312,80317) = 6450418904