What is the Least Common Multiple of 16842 and 16859?

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 16842 and 16859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16842 and 16859, than apply into the LCM equation.

GCF(16842,16859) = 1
LCM(16842,16859) = ( 16842 × 16859) / 1
LCM(16842,16859) = 283939278 / 1
LCM(16842,16859) = 283939278

Least Common Multiple (LCM) of 16842 and 16859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16842 and 16859. First we will calculate the prime factors of 16842 and 16859.

Prime Factorization of 16842

Prime Factorization of 16859

Now multiplying the highest exponent prime factors to calculate the LCM of 16842 and 16859.

LCM(16842,16859) = 2¹ × 3¹ × 7¹ × 401¹ × 23¹ × 733¹
LCM(16842,16859) = 283939278