What is the Least Common Multiple of 84369 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 84369 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 84369 and 84384, than apply into the LCM equation.

GCF(84369,84384) = 3
LCM(84369,84384) = ( 84369 × 84384) / 3
LCM(84369,84384) = 7119393696 / 3
LCM(84369,84384) = 2373131232

Least Common Multiple (LCM) of 84369 and 84384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84369 and 84384. First we will calculate the prime factors of 84369 and 84384.

Prime Factorization of 84369

Prime Factorization of 84384

Now multiplying the highest exponent prime factors to calculate the LCM of 84369 and 84384.

LCM(84369,84384) = 3² × 28123¹ × 2⁵ × 293¹
LCM(84369,84384) = 2373131232