Least Common Multiple of 8349 and 8357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8349 and 8357 the smallest integer that is 69772593 that is divisible by both numbers.
Least Common Multiple (LCM) of 8349 and 8357 is 69772593.
LCM(8349,8357) = 69772593
LCM of 8349 and 8357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8349 and 8357 by Prime method
- Least Common Multiple of 8349 and 8357 with GCF Formula
LCM of 8349 and 8357 is 69772593
Least common multiple can be found by multiplying the highest exponent prime factors of 8349 and 8357. First we will calculate the prime factors of 8349 and 8357.
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
Prime Factorization of 8357
| 61 | 8357 |
| 137 | 137 |
| 1 |
Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:
8357 = 611×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8349 and 8357.
LCM(8349,8357) = 31×112×231×611×1371
LCM(8349,8357) = 69772593
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
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1, 61, 137, 8357
Least Common Multiple of 8349 and 8357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8349 and 8357, than apply into the LCM equation.
GCF(8349,8357) = 1
LCM(8349,8357) = ( 8349 × 8357) / 1
LCM(8349,8357) = 69772593 / 1
LCM(8349,8357) = 69772593
Properties of LCM 8349 and 8357
(i) The LCM of 8357 and 8349 is associative
LCM of 8349 and 8357 = LCM of 8357 and 8349
Related Least Common Multiples of 8349
Related Least Common Multiples of 8357
Frequently Asked Questions on LCM of 8349 and 8357
1. What is the LCM of 8349 and 8357?
Answer: LCM of 8349 and 8357 is 69772593.
2. 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.
3. What are the Factors of 8357?
Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.
4. How to Find the LCM of 8349 and 8357?
Answer:
Least Common Multiple of 8349 and 8357 = 69772593
Step 1: Find the prime factorization of 8349
8349 = 3 x 11 x 11 x 23
Step 2: Find the prime factorization of 8357
8357 = 61 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69772593 = 3 x 11 x 11 x 23 x 61 x 137
Step 4: Therefore, the least common multiple of 8349 and 8357 is 69772593.