What is the Least Common Multiple of 1854 and 1871?

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 1854 and 1871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1854 and 1871, than apply into the LCM equation.

GCF(1854,1871) = 1
LCM(1854,1871) = ( 1854 × 1871) / 1
LCM(1854,1871) = 3468834 / 1
LCM(1854,1871) = 3468834

Least Common Multiple (LCM) of 1854 and 1871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1854 and 1871. First we will calculate the prime factors of 1854 and 1871.

Prime Factorization of 1854

Prime Factorization of 1871

Now multiplying the highest exponent prime factors to calculate the LCM of 1854 and 1871.

LCM(1854,1871) = 2¹ × 3² × 103¹ × 1871¹
LCM(1854,1871) = 3468834