Least Common Multiple of 8359 and 8364
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 8364 the smallest integer that is 69914676 that is divisible by both numbers.
Least Common Multiple (LCM) of 8359 and 8364 is 69914676.
LCM(8359,8364) = 69914676
LCM of 8359 and 8364
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8359 and 8364 by Prime method
- Least Common Multiple of 8359 and 8364 with GCF Formula
LCM of 8359 and 8364 is 69914676
Least common multiple can be found by multiplying the highest exponent prime factors of 8359 and 8364. First we will calculate the prime factors of 8359 and 8364.
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 8364
| 2 | 8364 |
| 2 | 4182 |
| 3 | 2091 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 8364 are 2, 3, 17,41. Prime factorization of 8364 in exponential form is:
8364 = 22×31×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 8359 and 8364.
LCM(8359,8364) = 22×31×131×171×411×6431
LCM(8359,8364) = 69914676
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643, 8359
Factors of 8364
List of positive integer factors of 8364 that divides 8364 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364
Least Common Multiple of 8359 and 8364 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 8364, than apply into the LCM equation.
GCF(8359,8364) = 1
LCM(8359,8364) = ( 8359 × 8364) / 1
LCM(8359,8364) = 69914676 / 1
LCM(8359,8364) = 69914676
Properties of LCM 8359 and 8364
(i) The LCM of 8364 and 8359 is associative
LCM of 8359 and 8364 = LCM of 8364 and 8359
Related Least Common Multiples of 8359
Related Least Common Multiples of 8364
Frequently Asked Questions on LCM of 8359 and 8364
1. What is the LCM of 8359 and 8364?
Answer: LCM of 8359 and 8364 is 69914676.
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 8364?
Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.
4. How to Find the LCM of 8359 and 8364?
Answer:
Least Common Multiple of 8359 and 8364 = 69914676
Step 1: Find the prime factorization of 8359
8359 = 13 x 643
Step 2: Find the prime factorization of 8364
8364 = 2 x 2 x 3 x 17 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 = 69914676 = 2 x 2 x 3 x 13 x 17 x 41 x 643
Step 4: Therefore, the least common multiple of 8359 and 8364 is 69914676.