Least Common Multiple of 8011 and 8019

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 8019 the smallest integer that is 64240209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8011 and 8019 is 64240209.

LCM(8011,8019) = 64240209

LCM of 8011 and 8019

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

LCM of:
and

Least Common Multiple of 8011 and 8019

LCM of 8011 and 8019 is 64240209

Least common multiple can be found by multiplying the highest exponent prime factors of 8011 and 8019. First we will calculate the prime factors of 8011 and 8019.

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 8019


3 8019
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 8019 are 3,11. Prime factorization of 8019 in exponential form is:

8019 = 36×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8011 and 8019.

LCM(8011,8019) = 36×111×80111
LCM(8011,8019) = 64240209

Factors of 8011

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

1, 8011

Factors of 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019

Least Common Multiple of 8011 and 8019 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 8019, than apply into the LCM equation.

GCF(8011,8019) = 1
LCM(8011,8019) = ( 8011 × 8019) / 1
LCM(8011,8019) = 64240209 / 1
LCM(8011,8019) = 64240209

Properties of LCM 8011 and 8019

(i) The LCM of 8019 and 8011 is associative

LCM of 8011 and 8019 = LCM of 8019 and 8011

Related Least Common Multiples of 8011

Related Least Common Multiples of 8019

Frequently Asked Questions on LCM of 8011 and 8019

1. What is the LCM of 8011 and 8019?

Answer: LCM of 8011 and 8019 is 64240209.

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 8019?

Answer: Factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019. There are 14 integers that are factors of 8019. The greatest factor of 8019 is 8019.

4. How to Find the LCM of 8011 and 8019?

Answer:

Least Common Multiple of 8011 and 8019 = 64240209

Step 1: Find the prime factorization of 8011

8011 = 8011

Step 2: Find the prime factorization of 8019

8019 = 3 x 3 x 3 x 3 x 3 x 3 x 11

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

LCM = 64240209 = 3 x 3 x 3 x 3 x 3 x 3 x 11 x 8011

Step 4: Therefore, the least common multiple of 8011 and 8019 is 64240209.