What is the Least Common Multiple of 72804 and 72812?

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 72812 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 72812, than apply into the LCM equation.

GCF(72804,72812) = 4
LCM(72804,72812) = ( 72804 × 72812) / 4
LCM(72804,72812) = 5301004848 / 4
LCM(72804,72812) = 1325251212

Least Common Multiple (LCM) of 72804 and 72812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72804 and 72812. First we will calculate the prime factors of 72804 and 72812.

Prime Factorization of 72804

Prime Factorization of 72812

Now multiplying the highest exponent prime factors to calculate the LCM of 72804 and 72812.

LCM(72804,72812) = 2² × 3¹ × 6067¹ × 109¹ × 167¹
LCM(72804,72812) = 1325251212