What is the Least Common Multiple of 84204 and 84219?

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 84204 and 84219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84204 and 84219, than apply into the LCM equation.

GCF(84204,84219) = 3
LCM(84204,84219) = ( 84204 × 84219) / 3
LCM(84204,84219) = 7091576676 / 3
LCM(84204,84219) = 2363858892

Least Common Multiple (LCM) of 84204 and 84219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84204 and 84219. First we will calculate the prime factors of 84204 and 84219.

Prime Factorization of 84204

Prime Factorization of 84219

Now multiplying the highest exponent prime factors to calculate the LCM of 84204 and 84219.

LCM(84204,84219) = 2² × 3² × 2339¹ × 67¹ × 419¹
LCM(84204,84219) = 2363858892