What is the Least Common Multiple of 1839 and 1857?

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 1839 and 1857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1839 and 1857, than apply into the LCM equation.

GCF(1839,1857) = 3
LCM(1839,1857) = ( 1839 × 1857) / 3
LCM(1839,1857) = 3415023 / 3
LCM(1839,1857) = 1138341

Least Common Multiple (LCM) of 1839 and 1857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1839 and 1857. First we will calculate the prime factors of 1839 and 1857.

Prime Factorization of 1839

Prime Factorization of 1857

Now multiplying the highest exponent prime factors to calculate the LCM of 1839 and 1857.

LCM(1839,1857) = 3¹ × 613¹ × 619¹
LCM(1839,1857) = 1138341