What is the Least Common Multiple of 72804 and 72809?

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 72804 and 72809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72804 and 72809, than apply into the LCM equation.

GCF(72804,72809) = 1
LCM(72804,72809) = ( 72804 × 72809) / 1
LCM(72804,72809) = 5300786436 / 1
LCM(72804,72809) = 5300786436

Least Common Multiple (LCM) of 72804 and 72809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72804 and 72809. First we will calculate the prime factors of 72804 and 72809.

Prime Factorization of 72804

Prime Factorization of 72809

Now multiplying the highest exponent prime factors to calculate the LCM of 72804 and 72809.

LCM(72804,72809) = 2² × 3¹ × 6067¹ × 11¹ × 6619¹
LCM(72804,72809) = 5300786436