What is the Least Common Multiple of 16845 and 16854?

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 16845 and 16854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16845 and 16854, than apply into the LCM equation.

GCF(16845,16854) = 3
LCM(16845,16854) = ( 16845 × 16854) / 3
LCM(16845,16854) = 283905630 / 3
LCM(16845,16854) = 94635210

Least Common Multiple (LCM) of 16845 and 16854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16845 and 16854. First we will calculate the prime factors of 16845 and 16854.

Prime Factorization of 16845

Prime Factorization of 16854

Now multiplying the highest exponent prime factors to calculate the LCM of 16845 and 16854.

LCM(16845,16854) = 3¹ × 5¹ × 1123¹ × 2¹ × 53²
LCM(16845,16854) = 94635210