What is the Least Common Multiple of 44857 and 44873?

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 44857 and 44873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44857 and 44873, than apply into the LCM equation.

GCF(44857,44873) = 1
LCM(44857,44873) = ( 44857 × 44873) / 1
LCM(44857,44873) = 2012868161 / 1
LCM(44857,44873) = 2012868161

Least Common Multiple (LCM) of 44857 and 44873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44857 and 44873. First we will calculate the prime factors of 44857 and 44873.

Prime Factorization of 44857

Prime Factorization of 44873

Now multiplying the highest exponent prime factors to calculate the LCM of 44857 and 44873.

LCM(44857,44873) = 31¹ × 1447¹ × 23¹ × 1951¹
LCM(44857,44873) = 2012868161