What is the Least Common Multiple of 16829 and 16842?

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 16829 and 16842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16829 and 16842, than apply into the LCM equation.

GCF(16829,16842) = 1
LCM(16829,16842) = ( 16829 × 16842) / 1
LCM(16829,16842) = 283434018 / 1
LCM(16829,16842) = 283434018

Least Common Multiple (LCM) of 16829 and 16842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16829 and 16842. First we will calculate the prime factors of 16829 and 16842.

Prime Factorization of 16829

Prime Factorization of 16842

Now multiplying the highest exponent prime factors to calculate the LCM of 16829 and 16842.

LCM(16829,16842) = 16829¹ × 2¹ × 3¹ × 7¹ × 401¹
LCM(16829,16842) = 283434018