Least Common Multiple of 8341 and 8349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8341 and 8349 the smallest integer that is 69639009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8341 and 8349 is 69639009.
LCM(8341,8349) = 69639009
LCM of 8341 and 8349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8341 and 8349 by Prime method
- Least Common Multiple of 8341 and 8349 with GCF Formula
LCM of 8341 and 8349 is 69639009
Least common multiple can be found by multiplying the highest exponent prime factors of 8341 and 8349. First we will calculate the prime factors of 8341 and 8349.
Prime Factorization of 8341
| 19 | 8341 |
| 439 | 439 |
| 1 |
Prime factors of 8341 are 19,439. Prime factorization of 8341 in exponential form is:
8341 = 191×4391
Prime Factorization of 8349
| 3 | 8349 |
| 11 | 2783 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 8349 are 3, 11,23. Prime factorization of 8349 in exponential form is:
8349 = 31×112×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8341 and 8349.
LCM(8341,8349) = 31×112×191×231×4391
LCM(8341,8349) = 69639009
Factors of 8341
List of positive integer factors of 8341 that divides 8341 without a remainder.
1, 19, 439, 8341
Factors of 8349
List of positive integer factors of 8349 that divides 8349 without a remainder.
1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
Least Common Multiple of 8341 and 8349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8341 and 8349, than apply into the LCM equation.
GCF(8341,8349) = 1
LCM(8341,8349) = ( 8341 × 8349) / 1
LCM(8341,8349) = 69639009 / 1
LCM(8341,8349) = 69639009
Properties of LCM 8341 and 8349
(i) The LCM of 8349 and 8341 is associative
LCM of 8341 and 8349 = LCM of 8349 and 8341
Related Least Common Multiples of 8341
Related Least Common Multiples of 8349
Frequently Asked Questions on LCM of 8341 and 8349
1. What is the LCM of 8341 and 8349?
Answer: LCM of 8341 and 8349 is 69639009.
2. What are the Factors of 8341?
Answer: Factors of 8341 are 1, 19, 439, 8341. There are 4 integers that are factors of 8341. The greatest factor of 8341 is 8341.
3. What are the Factors of 8349?
Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.
4. How to Find the LCM of 8341 and 8349?
Answer:
Least Common Multiple of 8341 and 8349 = 69639009
Step 1: Find the prime factorization of 8341
8341 = 19 x 439
Step 2: Find the prime factorization of 8349
8349 = 3 x 11 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69639009 = 3 x 11 x 11 x 19 x 23 x 439
Step 4: Therefore, the least common multiple of 8341 and 8349 is 69639009.