What is the Least Common Multiple of 81204 and 81219?

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 81204 and 81219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81204 and 81219, than apply into the LCM equation.

GCF(81204,81219) = 3
LCM(81204,81219) = ( 81204 × 81219) / 3
LCM(81204,81219) = 6595307676 / 3
LCM(81204,81219) = 2198435892

Least Common Multiple (LCM) of 81204 and 81219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81204 and 81219. First we will calculate the prime factors of 81204 and 81219.

Prime Factorization of 81204

Prime Factorization of 81219

Now multiplying the highest exponent prime factors to calculate the LCM of 81204 and 81219.

LCM(81204,81219) = 2² × 3¹ × 67¹ × 101¹ × 27073¹
LCM(81204,81219) = 2198435892