Least Common Multiple of 8004 and 8011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8004 and 8011 the smallest integer that is 64120044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8004 and 8011 is 64120044.

LCM(8004,8011) = 64120044

LCM of 8004 and 8011

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8004 and 8011

LCM of 8004 and 8011 is 64120044

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


2 8004
2 4002
3 2001
23 667
29 29
1

Prime factors of 8004 are 2, 3, 23,29. Prime factorization of 8004 in exponential form is:

8004 = 22×31×231×291

Prime Factorization of 8011


8011 8011
1

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

8011 = 80111

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

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

Factors of 8011

List of positive integer factors of 8011 that divides 8011 without a remainder.

1, 8011

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

Properties of LCM 8004 and 8011

(i) The LCM of 8011 and 8004 is associative

LCM of 8004 and 8011 = LCM of 8011 and 8004

Related Least Common Multiples of 8004

Related Least Common Multiples of 8011

Frequently Asked Questions on LCM of 8004 and 8011

1. What is the LCM of 8004 and 8011?

Answer: LCM of 8004 and 8011 is 64120044.

2. What are the Factors of 8004?

Answer: Factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. There are 24 integers that are factors of 8004. The greatest factor of 8004 is 8004.

3. What are the Factors of 8011?

Answer: Factors of 8011 are 1, 8011. There are 2 integers that are factors of 8011. The greatest factor of 8011 is 8011.

4. How to Find the LCM of 8004 and 8011?

Answer:

Least Common Multiple of 8004 and 8011 = 64120044

Step 1: Find the prime factorization of 8004

8004 = 2 x 2 x 3 x 23 x 29

Step 2: Find the prime factorization of 8011

8011 = 8011

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 64120044 = 2 x 2 x 3 x 23 x 29 x 8011

Step 4: Therefore, the least common multiple of 8004 and 8011 is 64120044.