What is the Least Common Multiple of 90311 and 90317?

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 90311 and 90317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90311 and 90317, than apply into the LCM equation.

GCF(90311,90317) = 1
LCM(90311,90317) = ( 90311 × 90317) / 1
LCM(90311,90317) = 8156618587 / 1
LCM(90311,90317) = 8156618587

Least Common Multiple (LCM) of 90311 and 90317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90311 and 90317. First we will calculate the prime factors of 90311 and 90317.

Prime Factorization of 90311

Prime Factorization of 90317

Now multiplying the highest exponent prime factors to calculate the LCM of 90311 and 90317.

LCM(90311,90317) = 13¹ × 6947¹ × 37¹ × 2441¹
LCM(90311,90317) = 8156618587