What is the Least Common Multiple of 28909 and 28928?

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 28909 and 28928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28909 and 28928, than apply into the LCM equation.

GCF(28909,28928) = 1
LCM(28909,28928) = ( 28909 × 28928) / 1
LCM(28909,28928) = 836279552 / 1
LCM(28909,28928) = 836279552

Least Common Multiple (LCM) of 28909 and 28928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28909 and 28928. First we will calculate the prime factors of 28909 and 28928.

Prime Factorization of 28909

Prime Factorization of 28928

Now multiplying the highest exponent prime factors to calculate the LCM of 28909 and 28928.

LCM(28909,28928) = 28909¹ × 2⁸ × 113¹
LCM(28909,28928) = 836279552