What is the Least Common Multiple of 84378 and 84384?

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 84378 and 84384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84378 and 84384, than apply into the LCM equation.

GCF(84378,84384) = 6
LCM(84378,84384) = ( 84378 × 84384) / 6
LCM(84378,84384) = 7120153152 / 6
LCM(84378,84384) = 1186692192

Least Common Multiple (LCM) of 84378 and 84384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84378 and 84384. First we will calculate the prime factors of 84378 and 84384.

Prime Factorization of 84378

Prime Factorization of 84384

Now multiplying the highest exponent prime factors to calculate the LCM of 84378 and 84384.

LCM(84378,84384) = 2⁵ × 3² × 7³ × 41¹ × 293¹
LCM(84378,84384) = 1186692192