Least Common Multiple of 8011 and 8016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8011 and 8016 the smallest integer that is 64216176 that is divisible by both numbers.

Least Common Multiple (LCM) of 8011 and 8016 is 64216176.

LCM(8011,8016) = 64216176

LCM of 8011 and 8016

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

LCM of:
and

Least Common Multiple of 8011 and 8016

LCM of 8011 and 8016 is 64216176

Least common multiple can be found by multiplying the highest exponent prime factors of 8011 and 8016. First we will calculate the prime factors of 8011 and 8016.

Prime Factorization of 8011


8011 8011
1

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

8011 = 80111

Prime Factorization of 8016


2 8016
2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 8016 are 2, 3,167. Prime factorization of 8016 in exponential form is:

8016 = 24×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8011 and 8016.

LCM(8011,8016) = 24×31×1671×80111
LCM(8011,8016) = 64216176

Factors of 8011

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

1, 8011

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016

Least Common Multiple of 8011 and 8016 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 8016, than apply into the LCM equation.

GCF(8011,8016) = 1
LCM(8011,8016) = ( 8011 × 8016) / 1
LCM(8011,8016) = 64216176 / 1
LCM(8011,8016) = 64216176

Properties of LCM 8011 and 8016

(i) The LCM of 8016 and 8011 is associative

LCM of 8011 and 8016 = LCM of 8016 and 8011

Related Least Common Multiples of 8011

Related Least Common Multiples of 8016

Frequently Asked Questions on LCM of 8011 and 8016

1. What is the LCM of 8011 and 8016?

Answer: LCM of 8011 and 8016 is 64216176.

2. 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.

3. What are the Factors of 8016?

Answer: Factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016. There are 20 integers that are factors of 8016. The greatest factor of 8016 is 8016.

4. How to Find the LCM of 8011 and 8016?

Answer:

Least Common Multiple of 8011 and 8016 = 64216176

Step 1: Find the prime factorization of 8011

8011 = 8011

Step 2: Find the prime factorization of 8016

8016 = 2 x 2 x 2 x 2 x 3 x 167

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

LCM = 64216176 = 2 x 2 x 2 x 2 x 3 x 167 x 8011

Step 4: Therefore, the least common multiple of 8011 and 8016 is 64216176.