What is the Least Common Multiple of 79304 and 79322?

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 79304 and 79322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79304 and 79322, than apply into the LCM equation.

GCF(79304,79322) = 2
LCM(79304,79322) = ( 79304 × 79322) / 2
LCM(79304,79322) = 6290551888 / 2
LCM(79304,79322) = 3145275944

Least Common Multiple (LCM) of 79304 and 79322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79304 and 79322. First we will calculate the prime factors of 79304 and 79322.

Prime Factorization of 79304

Prime Factorization of 79322

Now multiplying the highest exponent prime factors to calculate the LCM of 79304 and 79322.

LCM(79304,79322) = 2³ × 23¹ × 431¹ × 17¹ × 2333¹
LCM(79304,79322) = 3145275944