What is the Least Common Multiple of 16596 and 16608?

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 16596 and 16608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16596 and 16608, than apply into the LCM equation.

GCF(16596,16608) = 12
LCM(16596,16608) = ( 16596 × 16608) / 12
LCM(16596,16608) = 275626368 / 12
LCM(16596,16608) = 22968864

Least Common Multiple (LCM) of 16596 and 16608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16596 and 16608. First we will calculate the prime factors of 16596 and 16608.

Prime Factorization of 16596

Prime Factorization of 16608

Now multiplying the highest exponent prime factors to calculate the LCM of 16596 and 16608.

LCM(16596,16608) = 2⁵ × 3² × 461¹ × 173¹
LCM(16596,16608) = 22968864