Least Common Multiple of 9397 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 9397 and 9405 the smallest integer that is 88378785 that is divisible by both numbers.
Least Common Multiple (LCM) of 9397 and 9405 is 88378785.
LCM(9397,9405) = 88378785
LCM of 9397 and 9405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9397 and 9405 by Prime method
- Least Common Multiple of 9397 and 9405 with GCF Formula
LCM of 9397 and 9405 is 88378785
Least common multiple can be found by multiplying the highest exponent prime factors of 9397 and 9405. First we will calculate the prime factors of 9397 and 9405.
Prime Factorization of 9397
| 9397 | 9397 |
| 1 |
Prime factors of 9397 are 9397. Prime factorization of 9397 in exponential form is:
9397 = 93971
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 9397 and 9405.
LCM(9397,9405) = 32×51×111×191×93971
LCM(9397,9405) = 88378785
Factors of 9397
List of positive integer factors of 9397 that divides 9397 without a remainder.
1, 9397
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 9397 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 9397 and 9405, than apply into the LCM equation.
GCF(9397,9405) = 1
LCM(9397,9405) = ( 9397 × 9405) / 1
LCM(9397,9405) = 88378785 / 1
LCM(9397,9405) = 88378785
Properties of LCM 9397 and 9405
(i) The LCM of 9405 and 9397 is associative
LCM of 9397 and 9405 = LCM of 9405 and 9397
Related Least Common Multiples of 9397
Related Least Common Multiples of 9405
Frequently Asked Questions on LCM of 9397 and 9405
1. What is the LCM of 9397 and 9405?
Answer: LCM of 9397 and 9405 is 88378785.
2. What are the Factors of 9397?
Answer: Factors of 9397 are 1, 9397. There are 2 integers that are factors of 9397. The greatest factor of 9397 is 9397.
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 9397 and 9405?
Answer:
Least Common Multiple of 9397 and 9405 = 88378785
Step 1: Find the prime factorization of 9397
9397 = 9397
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 = 88378785 = 3 x 3 x 5 x 11 x 19 x 9397
Step 4: Therefore, the least common multiple of 9397 and 9405 is 88378785.