What is the Least Common Multiple of 79311 and 79329?

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 79311 and 79329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79311 and 79329, than apply into the LCM equation.

GCF(79311,79329) = 3
LCM(79311,79329) = ( 79311 × 79329) / 3
LCM(79311,79329) = 6291662319 / 3
LCM(79311,79329) = 2097220773

Least Common Multiple (LCM) of 79311 and 79329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79311 and 79329. First we will calculate the prime factors of 79311 and 79329.

Prime Factorization of 79311

Prime Factorization of 79329

Now multiplying the highest exponent prime factors to calculate the LCM of 79311 and 79329.

LCM(79311,79329) = 3¹ × 26437¹ × 31¹ × 853¹
LCM(79311,79329) = 2097220773