What is the Least Common Multiple of 16842 and 16860?

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 16860 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 16860, than apply into the LCM equation.

GCF(16842,16860) = 6
LCM(16842,16860) = ( 16842 × 16860) / 6
LCM(16842,16860) = 283956120 / 6
LCM(16842,16860) = 47326020

Least Common Multiple (LCM) of 16842 and 16860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16842 and 16860. First we will calculate the prime factors of 16842 and 16860.

Prime Factorization of 16842

Prime Factorization of 16860

Now multiplying the highest exponent prime factors to calculate the LCM of 16842 and 16860.

LCM(16842,16860) = 2² × 3¹ × 7¹ × 401¹ × 5¹ × 281¹
LCM(16842,16860) = 47326020