What is the Least Common Multiple of 16512 and 16531?

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 16531 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 16531, than apply into the LCM equation.

GCF(16512,16531) = 1
LCM(16512,16531) = ( 16512 × 16531) / 1
LCM(16512,16531) = 272959872 / 1
LCM(16512,16531) = 272959872

Least Common Multiple (LCM) of 16512 and 16531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16512 and 16531. First we will calculate the prime factors of 16512 and 16531.

Prime Factorization of 16512

Prime Factorization of 16531

Now multiplying the highest exponent prime factors to calculate the LCM of 16512 and 16531.

LCM(16512,16531) = 2⁷ × 3¹ × 43¹ × 61¹ × 271¹
LCM(16512,16531) = 272959872