What is the Least Common Multiple of 84384 and 84404?

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 84384 and 84404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84384 and 84404, than apply into the LCM equation.

GCF(84384,84404) = 4
LCM(84384,84404) = ( 84384 × 84404) / 4
LCM(84384,84404) = 7122347136 / 4
LCM(84384,84404) = 1780586784

Least Common Multiple (LCM) of 84384 and 84404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84384 and 84404. First we will calculate the prime factors of 84384 and 84404.

Prime Factorization of 84384

Prime Factorization of 84404

Now multiplying the highest exponent prime factors to calculate the LCM of 84384 and 84404.

LCM(84384,84404) = 2⁵ × 3² × 293¹ × 21101¹
LCM(84384,84404) = 1780586784