Least Common Multiple of 6349 and 6355
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 6355 the smallest integer that is 40347895 that is divisible by both numbers.
Least Common Multiple (LCM) of 6349 and 6355 is 40347895.
LCM(6349,6355) = 40347895
LCM of 6349 and 6355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6349 and 6355 by Prime method
- Least Common Multiple of 6349 and 6355 with GCF Formula
LCM of 6349 and 6355 is 40347895
Least common multiple can be found by multiplying the highest exponent prime factors of 6349 and 6355. First we will calculate the prime factors of 6349 and 6355.
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 6355
| 5 | 6355 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 6355 are 5, 31,41. Prime factorization of 6355 in exponential form is:
6355 = 51×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6349 and 6355.
LCM(6349,6355) = 51×71×311×411×9071
LCM(6349,6355) = 40347895
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1, 7, 907, 6349
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1, 5, 31, 41, 155, 205, 1271, 6355
Least Common Multiple of 6349 and 6355 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 6355, than apply into the LCM equation.
GCF(6349,6355) = 1
LCM(6349,6355) = ( 6349 × 6355) / 1
LCM(6349,6355) = 40347895 / 1
LCM(6349,6355) = 40347895
Properties of LCM 6349 and 6355
(i) The LCM of 6355 and 6349 is associative
LCM of 6349 and 6355 = LCM of 6355 and 6349
Related Least Common Multiples of 6349
Related Least Common Multiples of 6355
Frequently Asked Questions on LCM of 6349 and 6355
1. What is the LCM of 6349 and 6355?
Answer: LCM of 6349 and 6355 is 40347895.
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 6355?
Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.
4. How to Find the LCM of 6349 and 6355?
Answer:
Least Common Multiple of 6349 and 6355 = 40347895
Step 1: Find the prime factorization of 6349
6349 = 7 x 907
Step 2: Find the prime factorization of 6355
6355 = 5 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40347895 = 5 x 7 x 31 x 41 x 907
Step 4: Therefore, the least common multiple of 6349 and 6355 is 40347895.