What is the Least Common Multiple of 16928 and 16946?

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 16928 and 16946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16928 and 16946, than apply into the LCM equation.

GCF(16928,16946) = 2
LCM(16928,16946) = ( 16928 × 16946) / 2
LCM(16928,16946) = 286861888 / 2
LCM(16928,16946) = 143430944

Least Common Multiple (LCM) of 16928 and 16946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16928 and 16946. First we will calculate the prime factors of 16928 and 16946.

Prime Factorization of 16928

Prime Factorization of 16946

Now multiplying the highest exponent prime factors to calculate the LCM of 16928 and 16946.

LCM(16928,16946) = 2⁵ × 23² × 37¹ × 229¹
LCM(16928,16946) = 143430944