What is the Least Common Multiple of 28845 and 28857?

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 28845 and 28857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28845 and 28857, than apply into the LCM equation.

GCF(28845,28857) = 3
LCM(28845,28857) = ( 28845 × 28857) / 3
LCM(28845,28857) = 832380165 / 3
LCM(28845,28857) = 277460055

Least Common Multiple (LCM) of 28845 and 28857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28845 and 28857. First we will calculate the prime factors of 28845 and 28857.

Prime Factorization of 28845

Prime Factorization of 28857

Now multiplying the highest exponent prime factors to calculate the LCM of 28845 and 28857.

LCM(28845,28857) = 3² × 5¹ × 641¹ × 9619¹
LCM(28845,28857) = 277460055