What is the Least Common Multiple of 1857 and 1872?

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 1872 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 1872, than apply into the LCM equation.

GCF(1857,1872) = 3
LCM(1857,1872) = ( 1857 × 1872) / 3
LCM(1857,1872) = 3476304 / 3
LCM(1857,1872) = 1158768

Least Common Multiple (LCM) of 1857 and 1872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1872. First we will calculate the prime factors of 1857 and 1872.

Prime Factorization of 1857

Prime Factorization of 1872

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1872.

LCM(1857,1872) = 3² × 619¹ × 2⁴ × 13¹
LCM(1857,1872) = 1158768