Least Common Multiple of 9401 and 9405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9401 and 9405 the smallest integer that is 88416405 that is divisible by both numbers.
Least Common Multiple (LCM) of 9401 and 9405 is 88416405.
LCM(9401,9405) = 88416405
LCM of 9401 and 9405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9401 and 9405 by Prime method
- Least Common Multiple of 9401 and 9405 with GCF Formula
LCM of 9401 and 9405 is 88416405
Least common multiple can be found by multiplying the highest exponent prime factors of 9401 and 9405. First we will calculate the prime factors of 9401 and 9405.
Prime Factorization of 9401
| 7 | 9401 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 9401 are 7, 17,79. Prime factorization of 9401 in exponential form is:
9401 = 71×171×791
Prime Factorization of 9405
| 3 | 9405 |
| 3 | 3135 |
| 5 | 1045 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 9405 are 3, 5, 11,19. Prime factorization of 9405 in exponential form is:
9405 = 32×51×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 9401 and 9405.
LCM(9401,9405) = 32×51×71×111×171×191×791
LCM(9401,9405) = 88416405
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1, 7, 17, 79, 119, 553, 1343, 9401
Factors of 9405
List of positive integer factors of 9405 that divides 9405 without a remainder.
1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
Least Common Multiple of 9401 and 9405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9401 and 9405, than apply into the LCM equation.
GCF(9401,9405) = 1
LCM(9401,9405) = ( 9401 × 9405) / 1
LCM(9401,9405) = 88416405 / 1
LCM(9401,9405) = 88416405
Properties of LCM 9401 and 9405
(i) The LCM of 9405 and 9401 is associative
LCM of 9401 and 9405 = LCM of 9405 and 9401
Related Least Common Multiples of 9401
Related Least Common Multiples of 9405
Frequently Asked Questions on LCM of 9401 and 9405
1. What is the LCM of 9401 and 9405?
Answer: LCM of 9401 and 9405 is 88416405.
2. What are the Factors of 9401?
Answer: Factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401. There are 8 integers that are factors of 9401. The greatest factor of 9401 is 9401.
3. What are the Factors of 9405?
Answer: Factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405. There are 24 integers that are factors of 9405. The greatest factor of 9405 is 9405.
4. How to Find the LCM of 9401 and 9405?
Answer:
Least Common Multiple of 9401 and 9405 = 88416405
Step 1: Find the prime factorization of 9401
9401 = 7 x 17 x 79
Step 2: Find the prime factorization of 9405
9405 = 3 x 3 x 5 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88416405 = 3 x 3 x 5 x 7 x 11 x 17 x 19 x 79
Step 4: Therefore, the least common multiple of 9401 and 9405 is 88416405.
