What is the Least Common Multiple of 16524 and 16533?

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 16524 and 16533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16524 and 16533, than apply into the LCM equation.

GCF(16524,16533) = 9
LCM(16524,16533) = ( 16524 × 16533) / 9
LCM(16524,16533) = 273191292 / 9
LCM(16524,16533) = 30354588

Least Common Multiple (LCM) of 16524 and 16533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16524 and 16533. First we will calculate the prime factors of 16524 and 16533.

Prime Factorization of 16524

Prime Factorization of 16533

Now multiplying the highest exponent prime factors to calculate the LCM of 16524 and 16533.

LCM(16524,16533) = 2² × 3⁵ × 17¹ × 11¹ × 167¹
LCM(16524,16533) = 30354588