What is the Least Common Multiple of 28853 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 28853 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 28853 and 28857, than apply into the LCM equation.

GCF(28853,28857) = 1
LCM(28853,28857) = ( 28853 × 28857) / 1
LCM(28853,28857) = 832611021 / 1
LCM(28853,28857) = 832611021

Least Common Multiple (LCM) of 28853 and 28857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28857. First we will calculate the prime factors of 28853 and 28857.

Prime Factorization of 28853

Prime Factorization of 28857

Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28857.

LCM(28853,28857) = 11¹ × 43¹ × 61¹ × 3¹ × 9619¹
LCM(28853,28857) = 832611021