What is the Least Common Multiple of 28504 and 28511?

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 28504 and 28511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28504 and 28511, than apply into the LCM equation.

GCF(28504,28511) = 7
LCM(28504,28511) = ( 28504 × 28511) / 7
LCM(28504,28511) = 812677544 / 7
LCM(28504,28511) = 116096792

Least Common Multiple (LCM) of 28504 and 28511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28504 and 28511. First we will calculate the prime factors of 28504 and 28511.

Prime Factorization of 28504

Prime Factorization of 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 28504 and 28511.

LCM(28504,28511) = 2³ × 7¹ × 509¹ × 4073¹
LCM(28504,28511) = 116096792