What is the Least Common Multiple of 78304 and 78322?

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 78304 and 78322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78304 and 78322, than apply into the LCM equation.

GCF(78304,78322) = 2
LCM(78304,78322) = ( 78304 × 78322) / 2
LCM(78304,78322) = 6132925888 / 2
LCM(78304,78322) = 3066462944

Least Common Multiple (LCM) of 78304 and 78322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78304 and 78322. First we will calculate the prime factors of 78304 and 78322.

Prime Factorization of 78304

Prime Factorization of 78322

Now multiplying the highest exponent prime factors to calculate the LCM of 78304 and 78322.

LCM(78304,78322) = 2⁵ × 2447¹ × 39161¹
LCM(78304,78322) = 3066462944