What is the Least Common Multiple of 16836 and 16856?

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 16836 and 16856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16836 and 16856, than apply into the LCM equation.

GCF(16836,16856) = 4
LCM(16836,16856) = ( 16836 × 16856) / 4
LCM(16836,16856) = 283787616 / 4
LCM(16836,16856) = 70946904

Least Common Multiple (LCM) of 16836 and 16856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16836 and 16856. First we will calculate the prime factors of 16836 and 16856.

Prime Factorization of 16836

Prime Factorization of 16856

Now multiplying the highest exponent prime factors to calculate the LCM of 16836 and 16856.

LCM(16836,16856) = 2³ × 3¹ × 23¹ × 61¹ × 7² × 43¹
LCM(16836,16856) = 70946904