What is the Least Common Multiple of 16919 and 16928?

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 16919 and 16928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16919 and 16928, than apply into the LCM equation.

GCF(16919,16928) = 1
LCM(16919,16928) = ( 16919 × 16928) / 1
LCM(16919,16928) = 286404832 / 1
LCM(16919,16928) = 286404832

Least Common Multiple (LCM) of 16919 and 16928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16919 and 16928. First we will calculate the prime factors of 16919 and 16928.

Prime Factorization of 16919

Prime Factorization of 16928

Now multiplying the highest exponent prime factors to calculate the LCM of 16919 and 16928.

LCM(16919,16928) = 7¹ × 2417¹ × 2⁵ × 23²
LCM(16919,16928) = 286404832