What is the Least Common Multiple of 96311 and 96317?

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 96311 and 96317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96311 and 96317, than apply into the LCM equation.

GCF(96311,96317) = 1
LCM(96311,96317) = ( 96311 × 96317) / 1
LCM(96311,96317) = 9276386587 / 1
LCM(96311,96317) = 9276386587

Least Common Multiple (LCM) of 96311 and 96317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96311 and 96317. First we will calculate the prime factors of 96311 and 96317.

Prime Factorization of 96311

Prime Factorization of 96317

Now multiplying the highest exponent prime factors to calculate the LCM of 96311 and 96317.

LCM(96311,96317) = 19¹ × 37¹ × 137¹ × 13¹ × 31¹ × 239¹
LCM(96311,96317) = 9276386587