What is the Least Common Multiple of 28792 and 28809?

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 28792 and 28809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28792 and 28809, than apply into the LCM equation.

GCF(28792,28809) = 1
LCM(28792,28809) = ( 28792 × 28809) / 1
LCM(28792,28809) = 829468728 / 1
LCM(28792,28809) = 829468728

Least Common Multiple (LCM) of 28792 and 28809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28792 and 28809. First we will calculate the prime factors of 28792 and 28809.

Prime Factorization of 28792

Prime Factorization of 28809

Now multiplying the highest exponent prime factors to calculate the LCM of 28792 and 28809.

LCM(28792,28809) = 2³ × 59¹ × 61¹ × 3³ × 11¹ × 97¹
LCM(28792,28809) = 829468728