What is the Least Common Multiple of 72794 and 72804?

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 72794 and 72804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72794 and 72804, than apply into the LCM equation.

GCF(72794,72804) = 2
LCM(72794,72804) = ( 72794 × 72804) / 2
LCM(72794,72804) = 5299694376 / 2
LCM(72794,72804) = 2649847188

Least Common Multiple (LCM) of 72794 and 72804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72794 and 72804. First we will calculate the prime factors of 72794 and 72804.

Prime Factorization of 72794

Prime Factorization of 72804

Now multiplying the highest exponent prime factors to calculate the LCM of 72794 and 72804.

LCM(72794,72804) = 2² × 17¹ × 2141¹ × 3¹ × 6067¹
LCM(72794,72804) = 2649847188