Least Common Multiple of 6391 and 6399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6391 and 6399 the smallest integer that is 40896009 that is divisible by both numbers.
Least Common Multiple (LCM) of 6391 and 6399 is 40896009.
LCM(6391,6399) = 40896009
LCM of 6391 and 6399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6391 and 6399 by Prime method
- Least Common Multiple of 6391 and 6399 with GCF Formula
LCM of 6391 and 6399 is 40896009
Least common multiple can be found by multiplying the highest exponent prime factors of 6391 and 6399. First we will calculate the prime factors of 6391 and 6399.
Prime Factorization of 6391
| 7 | 6391 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 6391 are 7, 11,83. Prime factorization of 6391 in exponential form is:
6391 = 71×111×831
Prime Factorization of 6399
| 3 | 6399 |
| 3 | 2133 |
| 3 | 711 |
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 6399 are 3,79. Prime factorization of 6399 in exponential form is:
6399 = 34×791
Now multiplying the highest exponent prime factors to calculate the LCM of 6391 and 6399.
LCM(6391,6399) = 34×71×111×791×831
LCM(6391,6399) = 40896009
Factors of 6391
List of positive integer factors of 6391 that divides 6391 without a remainder.
1, 7, 11, 77, 83, 581, 913, 6391
Factors of 6399
List of positive integer factors of 6399 that divides 6399 without a remainder.
1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399
Least Common Multiple of 6391 and 6399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6391 and 6399, than apply into the LCM equation.
GCF(6391,6399) = 1
LCM(6391,6399) = ( 6391 × 6399) / 1
LCM(6391,6399) = 40896009 / 1
LCM(6391,6399) = 40896009
Properties of LCM 6391 and 6399
(i) The LCM of 6399 and 6391 is associative
LCM of 6391 and 6399 = LCM of 6399 and 6391
Related Least Common Multiples of 6391
Related Least Common Multiples of 6399
Frequently Asked Questions on LCM of 6391 and 6399
1. What is the LCM of 6391 and 6399?
Answer: LCM of 6391 and 6399 is 40896009.
2. What are the Factors of 6391?
Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.
3. What are the Factors of 6399?
Answer: Factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399. There are 10 integers that are factors of 6399. The greatest factor of 6399 is 6399.
4. How to Find the LCM of 6391 and 6399?
Answer:
Least Common Multiple of 6391 and 6399 = 40896009
Step 1: Find the prime factorization of 6391
6391 = 7 x 11 x 83
Step 2: Find the prime factorization of 6399
6399 = 3 x 3 x 3 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40896009 = 3 x 3 x 3 x 3 x 7 x 11 x 79 x 83
Step 4: Therefore, the least common multiple of 6391 and 6399 is 40896009.