What is the Least Common Multiple of 84219 and 84231?

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 84219 and 84231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84219 and 84231, than apply into the LCM equation.

GCF(84219,84231) = 3
LCM(84219,84231) = ( 84219 × 84231) / 3
LCM(84219,84231) = 7093850589 / 3
LCM(84219,84231) = 2364616863

Least Common Multiple (LCM) of 84219 and 84231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84219 and 84231. First we will calculate the prime factors of 84219 and 84231.

Prime Factorization of 84219

Prime Factorization of 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 84219 and 84231.

LCM(84219,84231) = 3² × 67¹ × 419¹ × 7² × 191¹
LCM(84219,84231) = 2364616863