Least Common Multiple of 8006 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 8006 and 8011 the smallest integer that is 64136066 that is divisible by both numbers.

Least Common Multiple (LCM) of 8006 and 8011 is 64136066.

LCM(8006,8011) = 64136066

LCM of 8006 and 8011

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

LCM of:
and

Least Common Multiple of 8006 and 8011

LCM of 8006 and 8011 is 64136066

Least common multiple can be found by multiplying the highest exponent prime factors of 8006 and 8011. First we will calculate the prime factors of 8006 and 8011.

Prime Factorization of 8006


2 8006
4003 4003
1

Prime factors of 8006 are 2,4003. Prime factorization of 8006 in exponential form is:

8006 = 21×40031

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 8006 and 8011.

LCM(8006,8011) = 21×40031×80111
LCM(8006,8011) = 64136066

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1, 2, 4003, 8006

Factors of 8011

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

1, 8011

Least Common Multiple of 8006 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 8006 and 8011, than apply into the LCM equation.

GCF(8006,8011) = 1
LCM(8006,8011) = ( 8006 × 8011) / 1
LCM(8006,8011) = 64136066 / 1
LCM(8006,8011) = 64136066

Properties of LCM 8006 and 8011

(i) The LCM of 8011 and 8006 is associative

LCM of 8006 and 8011 = LCM of 8011 and 8006

Related Least Common Multiples of 8006

Related Least Common Multiples of 8011

Frequently Asked Questions on LCM of 8006 and 8011

1. What is the LCM of 8006 and 8011?

Answer: LCM of 8006 and 8011 is 64136066.

2. What are the Factors of 8006?

Answer: Factors of 8006 are 1, 2, 4003, 8006. There are 4 integers that are factors of 8006. The greatest factor of 8006 is 8006.

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 8006 and 8011?

Answer:

Least Common Multiple of 8006 and 8011 = 64136066

Step 1: Find the prime factorization of 8006

8006 = 2 x 4003

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 = 64136066 = 2 x 4003 x 8011

Step 4: Therefore, the least common multiple of 8006 and 8011 is 64136066.