What is the Least Common Multiple of 16709 and 16728?

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 16709 and 16728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16709 and 16728, than apply into the LCM equation.

GCF(16709,16728) = 1
LCM(16709,16728) = ( 16709 × 16728) / 1
LCM(16709,16728) = 279508152 / 1
LCM(16709,16728) = 279508152

Least Common Multiple (LCM) of 16709 and 16728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16709 and 16728. First we will calculate the prime factors of 16709 and 16728.

Prime Factorization of 16709

Prime Factorization of 16728

Now multiplying the highest exponent prime factors to calculate the LCM of 16709 and 16728.

LCM(16709,16728) = 7² × 11¹ × 31¹ × 2³ × 3¹ × 17¹ × 41¹
LCM(16709,16728) = 279508152