What is the Least Common Multiple of 8004 and 8011?

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 8004 and 8011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8004 and 8011, than apply into the LCM equation.

GCF(8004,8011) = 1
LCM(8004,8011) = ( 8004 × 8011) / 1
LCM(8004,8011) = 64120044 / 1
LCM(8004,8011) = 64120044

Least Common Multiple (LCM) of 8004 and 8011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8004 and 8011. First we will calculate the prime factors of 8004 and 8011.

Prime Factorization of 8004

Prime Factorization of 8011

Now multiplying the highest exponent prime factors to calculate the LCM of 8004 and 8011.

LCM(8004,8011) = 2² × 3¹ × 23¹ × 29¹ × 8011¹
LCM(8004,8011) = 64120044