What is the Least Common Multiple of 99312 and 99317?

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 99312 and 99317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99312 and 99317, than apply into the LCM equation.

GCF(99312,99317) = 1
LCM(99312,99317) = ( 99312 × 99317) / 1
LCM(99312,99317) = 9863369904 / 1
LCM(99312,99317) = 9863369904

Least Common Multiple (LCM) of 99312 and 99317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99312 and 99317. First we will calculate the prime factors of 99312 and 99317.

Prime Factorization of 99312

Prime Factorization of 99317

Now multiplying the highest exponent prime factors to calculate the LCM of 99312 and 99317.

LCM(99312,99317) = 2⁴ × 3¹ × 2069¹ × 99317¹
LCM(99312,99317) = 9863369904