Least Common Multiple of 6349 and 6357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6349 and 6357 the smallest integer that is 40360593 that is divisible by both numbers.
Least Common Multiple (LCM) of 6349 and 6357 is 40360593.
LCM(6349,6357) = 40360593
LCM of 6349 and 6357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6349 and 6357 by Prime method
- Least Common Multiple of 6349 and 6357 with GCF Formula
LCM of 6349 and 6357 is 40360593
Least common multiple can be found by multiplying the highest exponent prime factors of 6349 and 6357. First we will calculate the prime factors of 6349 and 6357.
Prime Factorization of 6349
| 7 | 6349 |
| 907 | 907 |
| 1 |
Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:
6349 = 71×9071
Prime Factorization of 6357
| 3 | 6357 |
| 13 | 2119 |
| 163 | 163 |
| 1 |
Prime factors of 6357 are 3, 13,163. Prime factorization of 6357 in exponential form is:
6357 = 31×131×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 6349 and 6357.
LCM(6349,6357) = 31×71×131×1631×9071
LCM(6349,6357) = 40360593
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1, 7, 907, 6349
Factors of 6357
List of positive integer factors of 6357 that divides 6357 without a remainder.
1, 3, 13, 39, 163, 489, 2119, 6357
Least Common Multiple of 6349 and 6357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6349 and 6357, than apply into the LCM equation.
GCF(6349,6357) = 1
LCM(6349,6357) = ( 6349 × 6357) / 1
LCM(6349,6357) = 40360593 / 1
LCM(6349,6357) = 40360593
Properties of LCM 6349 and 6357
(i) The LCM of 6357 and 6349 is associative
LCM of 6349 and 6357 = LCM of 6357 and 6349
Related Least Common Multiples of 6349
Related Least Common Multiples of 6357
Frequently Asked Questions on LCM of 6349 and 6357
1. What is the LCM of 6349 and 6357?
Answer: LCM of 6349 and 6357 is 40360593.
2. What are the Factors of 6349?
Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.
3. What are the Factors of 6357?
Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.
4. How to Find the LCM of 6349 and 6357?
Answer:
Least Common Multiple of 6349 and 6357 = 40360593
Step 1: Find the prime factorization of 6349
6349 = 7 x 907
Step 2: Find the prime factorization of 6357
6357 = 3 x 13 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40360593 = 3 x 7 x 13 x 163 x 907
Step 4: Therefore, the least common multiple of 6349 and 6357 is 40360593.