What is the Least Common Multiple of 72810 and 72828?

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 72810 and 72828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72810 and 72828, than apply into the LCM equation.

GCF(72810,72828) = 18
LCM(72810,72828) = ( 72810 × 72828) / 18
LCM(72810,72828) = 5302606680 / 18
LCM(72810,72828) = 294589260

Least Common Multiple (LCM) of 72810 and 72828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72810 and 72828. First we will calculate the prime factors of 72810 and 72828.

Prime Factorization of 72810

Prime Factorization of 72828

Now multiplying the highest exponent prime factors to calculate the LCM of 72810 and 72828.

LCM(72810,72828) = 2² × 3² × 5¹ × 809¹ × 7¹ × 17²
LCM(72810,72828) = 294589260