What is the Least Common Multiple of 16854 and 16865?

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 16865 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 16865, than apply into the LCM equation.

GCF(16854,16865) = 1
LCM(16854,16865) = ( 16854 × 16865) / 1
LCM(16854,16865) = 284242710 / 1
LCM(16854,16865) = 284242710

Least Common Multiple (LCM) of 16854 and 16865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16854 and 16865. First we will calculate the prime factors of 16854 and 16865.

Prime Factorization of 16854

Prime Factorization of 16865

Now multiplying the highest exponent prime factors to calculate the LCM of 16854 and 16865.

LCM(16854,16865) = 2¹ × 3¹ × 53² × 5¹ × 3373¹
LCM(16854,16865) = 284242710