What is the Least Common Multiple of 16512 and 16532?

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 16532 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 16532, than apply into the LCM equation.

GCF(16512,16532) = 4
LCM(16512,16532) = ( 16512 × 16532) / 4
LCM(16512,16532) = 272976384 / 4
LCM(16512,16532) = 68244096

Least Common Multiple (LCM) of 16512 and 16532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16512 and 16532. First we will calculate the prime factors of 16512 and 16532.

Prime Factorization of 16512

Prime Factorization of 16532

Now multiplying the highest exponent prime factors to calculate the LCM of 16512 and 16532.

LCM(16512,16532) = 2⁷ × 3¹ × 43¹ × 4133¹
LCM(16512,16532) = 68244096