What is the Least Common Multiple of 1839 and 1859?

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 1859 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 1859, than apply into the LCM equation.

GCF(1839,1859) = 1
LCM(1839,1859) = ( 1839 × 1859) / 1
LCM(1839,1859) = 3418701 / 1
LCM(1839,1859) = 3418701

Least Common Multiple (LCM) of 1839 and 1859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1839 and 1859. First we will calculate the prime factors of 1839 and 1859.

Prime Factorization of 1839

Prime Factorization of 1859

Now multiplying the highest exponent prime factors to calculate the LCM of 1839 and 1859.

LCM(1839,1859) = 3¹ × 613¹ × 11¹ × 13²
LCM(1839,1859) = 3418701