Least Common Multiple of 8359 and 8365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8359 and 8365 the smallest integer that is 69923035 that is divisible by both numbers.
Least Common Multiple (LCM) of 8359 and 8365 is 69923035.
LCM(8359,8365) = 69923035
LCM of 8359 and 8365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8359 and 8365 by Prime method
- Least Common Multiple of 8359 and 8365 with GCF Formula
LCM of 8359 and 8365 is 69923035
Least common multiple can be found by multiplying the highest exponent prime factors of 8359 and 8365. First we will calculate the prime factors of 8359 and 8365.
Prime Factorization of 8359
| 13 | 8359 |
| 643 | 643 |
| 1 |
Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:
8359 = 131×6431
Prime Factorization of 8365
| 5 | 8365 |
| 7 | 1673 |
| 239 | 239 |
| 1 |
Prime factors of 8365 are 5, 7,239. Prime factorization of 8365 in exponential form is:
8365 = 51×71×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 8359 and 8365.
LCM(8359,8365) = 51×71×131×2391×6431
LCM(8359,8365) = 69923035
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643, 8359
Factors of 8365
List of positive integer factors of 8365 that divides 8365 without a remainder.
1, 5, 7, 35, 239, 1195, 1673, 8365
Least Common Multiple of 8359 and 8365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8359 and 8365, than apply into the LCM equation.
GCF(8359,8365) = 1
LCM(8359,8365) = ( 8359 × 8365) / 1
LCM(8359,8365) = 69923035 / 1
LCM(8359,8365) = 69923035
Properties of LCM 8359 and 8365
(i) The LCM of 8365 and 8359 is associative
LCM of 8359 and 8365 = LCM of 8365 and 8359
Related Least Common Multiples of 8359
Related Least Common Multiples of 8365
Frequently Asked Questions on LCM of 8359 and 8365
1. What is the LCM of 8359 and 8365?
Answer: LCM of 8359 and 8365 is 69923035.
2. What are the Factors of 8359?
Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.
3. What are the Factors of 8365?
Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.
4. How to Find the LCM of 8359 and 8365?
Answer:
Least Common Multiple of 8359 and 8365 = 69923035
Step 1: Find the prime factorization of 8359
8359 = 13 x 643
Step 2: Find the prime factorization of 8365
8365 = 5 x 7 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69923035 = 5 x 7 x 13 x 239 x 643
Step 4: Therefore, the least common multiple of 8359 and 8365 is 69923035.