What is the Least Common Multiple of 16839 and 16857?

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 16839 and 16857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16839 and 16857, than apply into the LCM equation.

GCF(16839,16857) = 9
LCM(16839,16857) = ( 16839 × 16857) / 9
LCM(16839,16857) = 283855023 / 9
LCM(16839,16857) = 31539447

Least Common Multiple (LCM) of 16839 and 16857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16839 and 16857. First we will calculate the prime factors of 16839 and 16857.

Prime Factorization of 16839

Prime Factorization of 16857

Now multiplying the highest exponent prime factors to calculate the LCM of 16839 and 16857.

LCM(16839,16857) = 3² × 1871¹ × 1873¹
LCM(16839,16857) = 31539447