Least Common Multiple of 9405 and 9409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9405 and 9409 the smallest integer that is 88491645 that is divisible by both numbers.
Least Common Multiple (LCM) of 9405 and 9409 is 88491645.
LCM(9405,9409) = 88491645
LCM of 9405 and 9409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9405 and 9409 by Prime method
- Least Common Multiple of 9405 and 9409 with GCF Formula
LCM of 9405 and 9409 is 88491645
Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9409. First we will calculate the prime factors of 9405 and 9409.
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
Prime Factorization of 9409
| 97 | 9409 |
| 97 | 97 |
| 1 |
Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:
9409 = 972
Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9409.
LCM(9405,9409) = 32×51×111×191×972
LCM(9405,9409) = 88491645
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
Factors of 9409
List of positive integer factors of 9409 that divides 9409 without a remainder.
1, 97, 9409
Least Common Multiple of 9405 and 9409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9405 and 9409, than apply into the LCM equation.
GCF(9405,9409) = 1
LCM(9405,9409) = ( 9405 × 9409) / 1
LCM(9405,9409) = 88491645 / 1
LCM(9405,9409) = 88491645
Properties of LCM 9405 and 9409
(i) The LCM of 9409 and 9405 is associative
LCM of 9405 and 9409 = LCM of 9409 and 9405
Related Least Common Multiples of 9405
Related Least Common Multiples of 9409
Frequently Asked Questions on LCM of 9405 and 9409
1. What is the LCM of 9405 and 9409?
Answer: LCM of 9405 and 9409 is 88491645.
2. 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.
3. What are the Factors of 9409?
Answer: Factors of 9409 are 1, 97, 9409. There are 3 integers that are factors of 9409. The greatest factor of 9409 is 9409.
4. How to Find the LCM of 9405 and 9409?
Answer:
Least Common Multiple of 9405 and 9409 = 88491645
Step 1: Find the prime factorization of 9405
9405 = 3 x 3 x 5 x 11 x 19
Step 2: Find the prime factorization of 9409
9409 = 97 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88491645 = 3 x 3 x 5 x 11 x 19 x 97 x 97
Step 4: Therefore, the least common multiple of 9405 and 9409 is 88491645.