What is the Least Common Multiple of 82312 and 82317?

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 82312 and 82317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82312 and 82317, than apply into the LCM equation.

GCF(82312,82317) = 1
LCM(82312,82317) = ( 82312 × 82317) / 1
LCM(82312,82317) = 6775676904 / 1
LCM(82312,82317) = 6775676904

Least Common Multiple (LCM) of 82312 and 82317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82312 and 82317. First we will calculate the prime factors of 82312 and 82317.

Prime Factorization of 82312

Prime Factorization of 82317

Now multiplying the highest exponent prime factors to calculate the LCM of 82312 and 82317.

LCM(82312,82317) = 2³ × 10289¹ × 3¹ × 23¹ × 1193¹
LCM(82312,82317) = 6775676904