What is the Least Common Multiple of 16854 and 16871?

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 16854 and 16871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16854 and 16871, than apply into the LCM equation.

GCF(16854,16871) = 1
LCM(16854,16871) = ( 16854 × 16871) / 1
LCM(16854,16871) = 284343834 / 1
LCM(16854,16871) = 284343834

Least Common Multiple (LCM) of 16854 and 16871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16854 and 16871. First we will calculate the prime factors of 16854 and 16871.

Prime Factorization of 16854

Prime Factorization of 16871

Now multiplying the highest exponent prime factors to calculate the LCM of 16854 and 16871.

LCM(16854,16871) = 2¹ × 3¹ × 53² × 16871¹
LCM(16854,16871) = 284343834