What is the Least Common Multiple of 16512 and 16530?

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 16512 and 16530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16512 and 16530, than apply into the LCM equation.

GCF(16512,16530) = 6
LCM(16512,16530) = ( 16512 × 16530) / 6
LCM(16512,16530) = 272943360 / 6
LCM(16512,16530) = 45490560

Least Common Multiple (LCM) of 16512 and 16530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16512 and 16530. First we will calculate the prime factors of 16512 and 16530.

Prime Factorization of 16512

Prime Factorization of 16530

Now multiplying the highest exponent prime factors to calculate the LCM of 16512 and 16530.

LCM(16512,16530) = 2⁷ × 3¹ × 43¹ × 5¹ × 19¹ × 29¹
LCM(16512,16530) = 45490560