What is the Least Common Multiple of 89311 and 89329?

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 89311 and 89329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89311 and 89329, than apply into the LCM equation.

GCF(89311,89329) = 1
LCM(89311,89329) = ( 89311 × 89329) / 1
LCM(89311,89329) = 7978062319 / 1
LCM(89311,89329) = 7978062319

Least Common Multiple (LCM) of 89311 and 89329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89311 and 89329. First we will calculate the prime factors of 89311 and 89329.

Prime Factorization of 89311

Prime Factorization of 89329

Now multiplying the highest exponent prime factors to calculate the LCM of 89311 and 89329.

LCM(89311,89329) = 31¹ × 43¹ × 67¹ × 89329¹
LCM(89311,89329) = 7978062319