What is the Least Common Multiple of 84168 and 84180?

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 84168 and 84180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84168 and 84180, than apply into the LCM equation.

GCF(84168,84180) = 12
LCM(84168,84180) = ( 84168 × 84180) / 12
LCM(84168,84180) = 7085262240 / 12
LCM(84168,84180) = 590438520

Least Common Multiple (LCM) of 84168 and 84180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84168 and 84180. First we will calculate the prime factors of 84168 and 84180.

Prime Factorization of 84168

Prime Factorization of 84180

Now multiplying the highest exponent prime factors to calculate the LCM of 84168 and 84180.

LCM(84168,84180) = 2³ × 3² × 7¹ × 167¹ × 5¹ × 23¹ × 61¹
LCM(84168,84180) = 590438520