Least Common Multiple of 8398 and 8405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8398 and 8405 the smallest integer that is 70585190 that is divisible by both numbers.
Least Common Multiple (LCM) of 8398 and 8405 is 70585190.
LCM(8398,8405) = 70585190
LCM of 8398 and 8405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8398 and 8405 by Prime method
- Least Common Multiple of 8398 and 8405 with GCF Formula
LCM of 8398 and 8405 is 70585190
Least common multiple can be found by multiplying the highest exponent prime factors of 8398 and 8405. First we will calculate the prime factors of 8398 and 8405.
Prime Factorization of 8398
| 2 | 8398 |
| 13 | 4199 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 8398 are 2, 13, 17,19. Prime factorization of 8398 in exponential form is:
8398 = 21×131×171×191
Prime Factorization of 8405
| 5 | 8405 |
| 41 | 1681 |
| 41 | 41 |
| 1 |
Prime factors of 8405 are 5,41. Prime factorization of 8405 in exponential form is:
8405 = 51×412
Now multiplying the highest exponent prime factors to calculate the LCM of 8398 and 8405.
LCM(8398,8405) = 21×51×131×171×191×412
LCM(8398,8405) = 70585190
Factors of 8398
List of positive integer factors of 8398 that divides 8398 without a remainder.
1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398
Factors of 8405
List of positive integer factors of 8405 that divides 8405 without a remainder.
1, 5, 41, 205, 1681, 8405
Least Common Multiple of 8398 and 8405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8398 and 8405, than apply into the LCM equation.
GCF(8398,8405) = 1
LCM(8398,8405) = ( 8398 × 8405) / 1
LCM(8398,8405) = 70585190 / 1
LCM(8398,8405) = 70585190
Properties of LCM 8398 and 8405
(i) The LCM of 8405 and 8398 is associative
LCM of 8398 and 8405 = LCM of 8405 and 8398
Related Least Common Multiples of 8398
Related Least Common Multiples of 8405
Frequently Asked Questions on LCM of 8398 and 8405
1. What is the LCM of 8398 and 8405?
Answer: LCM of 8398 and 8405 is 70585190.
2. What are the Factors of 8398?
Answer: Factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398. There are 16 integers that are factors of 8398. The greatest factor of 8398 is 8398.
3. What are the Factors of 8405?
Answer: Factors of 8405 are 1, 5, 41, 205, 1681, 8405. There are 6 integers that are factors of 8405. The greatest factor of 8405 is 8405.
4. How to Find the LCM of 8398 and 8405?
Answer:
Least Common Multiple of 8398 and 8405 = 70585190
Step 1: Find the prime factorization of 8398
8398 = 2 x 13 x 17 x 19
Step 2: Find the prime factorization of 8405
8405 = 5 x 41 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 = 70585190 = 2 x 5 x 13 x 17 x 19 x 41 x 41
Step 4: Therefore, the least common multiple of 8398 and 8405 is 70585190.