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What is the Least Common Multiple of 8011 and 8024?

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 (LCM) of 8011 and 8024 is 64280264.

LCM(8011,8024) = 64280264

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Least Common Multiple of 8011 and 8024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8011 and 8024, than apply into the LCM equation.

GCF(8011,8024) = 1
LCM(8011,8024) = ( 8011 × 8024) / 1
LCM(8011,8024) = 64280264 / 1
LCM(8011,8024) = 64280264

Least Common Multiple (LCM) of 8011 and 8024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8011 and 8024. First we will calculate the prime factors of 8011 and 8024.

Prime Factorization of 8011

Prime factors of 8011 are 8011. Prime factorization of 8011 in exponential form is:

8011 = 80111

Prime Factorization of 8024

Prime factors of 8024 are 2, 17, 59. Prime factorization of 8024 in exponential form is:

8024 = 23 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8011 and 8024.

LCM(8011,8024) = 80111 × 23 × 171 × 591
LCM(8011,8024) = 64280264