Least Common Multiple of 8007 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 8007 and 8011 the smallest integer that is 64144077 that is divisible by both numbers.
Least Common Multiple (LCM) of 8007 and 8011 is 64144077.
LCM(8007,8011) = 64144077
LCM of 8007 and 8011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8007 and 8011 by Prime method
- Least Common Multiple of 8007 and 8011 with GCF Formula
LCM of 8007 and 8011 is 64144077
Least common multiple can be found by multiplying the highest exponent prime factors of 8007 and 8011. First we will calculate the prime factors of 8007 and 8011.
Prime Factorization of 8007
| 3 | 8007 |
| 17 | 2669 |
| 157 | 157 |
| 1 |
Prime factors of 8007 are 3, 17,157. Prime factorization of 8007 in exponential form is:
8007 = 31×171×1571
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 8007 and 8011.
LCM(8007,8011) = 31×171×1571×80111
LCM(8007,8011) = 64144077
Factors of 8007
List of positive integer factors of 8007 that divides 8007 without a remainder.
1, 3, 17, 51, 157, 471, 2669, 8007
Factors of 8011
List of positive integer factors of 8011 that divides 8011 without a remainder.
1, 8011
Least Common Multiple of 8007 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 8007 and 8011, than apply into the LCM equation.
GCF(8007,8011) = 1
LCM(8007,8011) = ( 8007 × 8011) / 1
LCM(8007,8011) = 64144077 / 1
LCM(8007,8011) = 64144077
Properties of LCM 8007 and 8011
(i) The LCM of 8011 and 8007 is associative
LCM of 8007 and 8011 = LCM of 8011 and 8007
Related Least Common Multiples of 8007
Related Least Common Multiples of 8011
Frequently Asked Questions on LCM of 8007 and 8011
1. What is the LCM of 8007 and 8011?
Answer: LCM of 8007 and 8011 is 64144077.
2. What are the Factors of 8007?
Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.
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 8007 and 8011?
Answer:
Least Common Multiple of 8007 and 8011 = 64144077
Step 1: Find the prime factorization of 8007
8007 = 3 x 17 x 157
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 = 64144077 = 3 x 17 x 157 x 8011
Step 4: Therefore, the least common multiple of 8007 and 8011 is 64144077.