What is the Least Common Multiple of 16587 and 16596?

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 16587 and 16596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16587 and 16596, than apply into the LCM equation.

GCF(16587,16596) = 9
LCM(16587,16596) = ( 16587 × 16596) / 9
LCM(16587,16596) = 275277852 / 9
LCM(16587,16596) = 30586428

Least Common Multiple (LCM) of 16587 and 16596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16587 and 16596. First we will calculate the prime factors of 16587 and 16596.

Prime Factorization of 16587

Prime Factorization of 16596

Now multiplying the highest exponent prime factors to calculate the LCM of 16587 and 16596.

LCM(16587,16596) = 3² × 19¹ × 97¹ × 2² × 461¹
LCM(16587,16596) = 30586428