What is the Least Common Multiple of 28857 and 28869?

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 28857 and 28869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28857 and 28869, than apply into the LCM equation.

GCF(28857,28869) = 3
LCM(28857,28869) = ( 28857 × 28869) / 3
LCM(28857,28869) = 833072733 / 3
LCM(28857,28869) = 277690911

Least Common Multiple (LCM) of 28857 and 28869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28857 and 28869. First we will calculate the prime factors of 28857 and 28869.

Prime Factorization of 28857

Prime Factorization of 28869

Now multiplying the highest exponent prime factors to calculate the LCM of 28857 and 28869.

LCM(28857,28869) = 3¹ × 9619¹ × 9623¹
LCM(28857,28869) = 277690911