What is the Least Common Multiple of 28508 and 28513?

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 28508 and 28513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28508 and 28513, than apply into the LCM equation.

GCF(28508,28513) = 1
LCM(28508,28513) = ( 28508 × 28513) / 1
LCM(28508,28513) = 812848604 / 1
LCM(28508,28513) = 812848604

Least Common Multiple (LCM) of 28508 and 28513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28508 and 28513. First we will calculate the prime factors of 28508 and 28513.

Prime Factorization of 28508

Prime Factorization of 28513

Now multiplying the highest exponent prime factors to calculate the LCM of 28508 and 28513.

LCM(28508,28513) = 2² × 7127¹ × 28513¹
LCM(28508,28513) = 812848604