What is the Least Common Multiple of 96311 and 96329?

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 96329 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 96329, than apply into the LCM equation.

GCF(96311,96329) = 1
LCM(96311,96329) = ( 96311 × 96329) / 1
LCM(96311,96329) = 9277542319 / 1
LCM(96311,96329) = 9277542319

Least Common Multiple (LCM) of 96311 and 96329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96311 and 96329. First we will calculate the prime factors of 96311 and 96329.

Prime Factorization of 96311

Prime Factorization of 96329

Now multiplying the highest exponent prime factors to calculate the LCM of 96311 and 96329.

LCM(96311,96329) = 19¹ × 37¹ × 137¹ × 96329¹
LCM(96311,96329) = 9277542319