What is the Least Common Multiple of 16509 and 16524?

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 16509 and 16524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16509 and 16524, than apply into the LCM equation.

GCF(16509,16524) = 3
LCM(16509,16524) = ( 16509 × 16524) / 3
LCM(16509,16524) = 272794716 / 3
LCM(16509,16524) = 90931572

Least Common Multiple (LCM) of 16509 and 16524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16509 and 16524. First we will calculate the prime factors of 16509 and 16524.

Prime Factorization of 16509

Prime Factorization of 16524

Now multiplying the highest exponent prime factors to calculate the LCM of 16509 and 16524.

LCM(16509,16524) = 3⁵ × 5503¹ × 2² × 17¹
LCM(16509,16524) = 90931572