What is the Least Common Multiple of 16508 and 16512?

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 16508 and 16512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16508 and 16512, than apply into the LCM equation.

GCF(16508,16512) = 4
LCM(16508,16512) = ( 16508 × 16512) / 4
LCM(16508,16512) = 272580096 / 4
LCM(16508,16512) = 68145024

Least Common Multiple (LCM) of 16508 and 16512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16508 and 16512. First we will calculate the prime factors of 16508 and 16512.

Prime Factorization of 16508

Prime Factorization of 16512

Now multiplying the highest exponent prime factors to calculate the LCM of 16508 and 16512.

LCM(16508,16512) = 2⁷ × 4127¹ × 3¹ × 43¹
LCM(16508,16512) = 68145024