Least Common Multiple of 8401 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 8401 and 8405 the smallest integer that is 70610405 that is divisible by both numbers.
Least Common Multiple (LCM) of 8401 and 8405 is 70610405.
LCM(8401,8405) = 70610405
LCM of 8401 and 8405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8401 and 8405 by Prime method
- Least Common Multiple of 8401 and 8405 with GCF Formula
LCM of 8401 and 8405 is 70610405
Least common multiple can be found by multiplying the highest exponent prime factors of 8401 and 8405. First we will calculate the prime factors of 8401 and 8405.
Prime Factorization of 8401
| 31 | 8401 |
| 271 | 271 |
| 1 |
Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:
8401 = 311×2711
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 8401 and 8405.
LCM(8401,8405) = 51×311×412×2711
LCM(8401,8405) = 70610405
Factors of 8401
List of positive integer factors of 8401 that divides 8401 without a remainder.
1, 31, 271, 8401
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 8401 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 8401 and 8405, than apply into the LCM equation.
GCF(8401,8405) = 1
LCM(8401,8405) = ( 8401 × 8405) / 1
LCM(8401,8405) = 70610405 / 1
LCM(8401,8405) = 70610405
Properties of LCM 8401 and 8405
(i) The LCM of 8405 and 8401 is associative
LCM of 8401 and 8405 = LCM of 8405 and 8401
Related Least Common Multiples of 8401
Related Least Common Multiples of 8405
Frequently Asked Questions on LCM of 8401 and 8405
1. What is the LCM of 8401 and 8405?
Answer: LCM of 8401 and 8405 is 70610405.
2. What are the Factors of 8401?
Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.
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 8401 and 8405?
Answer:
Least Common Multiple of 8401 and 8405 = 70610405
Step 1: Find the prime factorization of 8401
8401 = 31 x 271
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 = 70610405 = 5 x 31 x 41 x 41 x 271
Step 4: Therefore, the least common multiple of 8401 and 8405 is 70610405.