What is the Least Common Multiple of 32506 and 32512?

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 32506 and 32512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32506 and 32512, than apply into the LCM equation.

GCF(32506,32512) = 2
LCM(32506,32512) = ( 32506 × 32512) / 2
LCM(32506,32512) = 1056835072 / 2
LCM(32506,32512) = 528417536

Least Common Multiple (LCM) of 32506 and 32512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32506 and 32512. First we will calculate the prime factors of 32506 and 32512.

Prime Factorization of 32506

Prime Factorization of 32512

Now multiplying the highest exponent prime factors to calculate the LCM of 32506 and 32512.

LCM(32506,32512) = 2⁸ × 16253¹ × 127¹
LCM(32506,32512) = 528417536