What is the Least Common Multiple of 84306 and 84321?

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 84306 and 84321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84306 and 84321, than apply into the LCM equation.

GCF(84306,84321) = 3
LCM(84306,84321) = ( 84306 × 84321) / 3
LCM(84306,84321) = 7108766226 / 3
LCM(84306,84321) = 2369588742

Least Common Multiple (LCM) of 84306 and 84321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84306 and 84321. First we will calculate the prime factors of 84306 and 84321.

Prime Factorization of 84306

Prime Factorization of 84321

Now multiplying the highest exponent prime factors to calculate the LCM of 84306 and 84321.

LCM(84306,84321) = 2¹ × 3⁵ × 14051¹ × 347¹
LCM(84306,84321) = 2369588742