What is the Least Common Multiple of 1857 and 1867?

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 1857 and 1867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1857 and 1867, than apply into the LCM equation.

GCF(1857,1867) = 1
LCM(1857,1867) = ( 1857 × 1867) / 1
LCM(1857,1867) = 3467019 / 1
LCM(1857,1867) = 3467019

Least Common Multiple (LCM) of 1857 and 1867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1867. First we will calculate the prime factors of 1857 and 1867.

Prime Factorization of 1857

Prime Factorization of 1867

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1867.

LCM(1857,1867) = 3¹ × 619¹ × 1867¹
LCM(1857,1867) = 3467019