Least Common Multiple of 9657 and 9665
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9657 and 9665 the smallest integer that is 93334905 that is divisible by both numbers.
Least Common Multiple (LCM) of 9657 and 9665 is 93334905.
LCM(9657,9665) = 93334905
LCM of 9657 and 9665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9657 and 9665 by Prime method
- Least Common Multiple of 9657 and 9665 with GCF Formula
LCM of 9657 and 9665 is 93334905
Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9665. First we will calculate the prime factors of 9657 and 9665.
Prime Factorization of 9657
| 3 | 9657 |
| 3 | 3219 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 9657 are 3, 29,37. Prime factorization of 9657 in exponential form is:
9657 = 32×291×371
Prime Factorization of 9665
| 5 | 9665 |
| 1933 | 1933 |
| 1 |
Prime factors of 9665 are 5,1933. Prime factorization of 9665 in exponential form is:
9665 = 51×19331
Now multiplying the highest exponent prime factors to calculate the LCM of 9657 and 9665.
LCM(9657,9665) = 32×51×291×371×19331
LCM(9657,9665) = 93334905
Factors of 9657
List of positive integer factors of 9657 that divides 9657 without a remainder.
1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657
Factors of 9665
List of positive integer factors of 9665 that divides 9665 without a remainder.
1, 5, 1933, 9665
Least Common Multiple of 9657 and 9665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9657 and 9665, than apply into the LCM equation.
GCF(9657,9665) = 1
LCM(9657,9665) = ( 9657 × 9665) / 1
LCM(9657,9665) = 93334905 / 1
LCM(9657,9665) = 93334905
Properties of LCM 9657 and 9665
(i) The LCM of 9665 and 9657 is associative
LCM of 9657 and 9665 = LCM of 9665 and 9657
Related Least Common Multiples of 9657
Related Least Common Multiples of 9665
Frequently Asked Questions on LCM of 9657 and 9665
1. What is the LCM of 9657 and 9665?
Answer: LCM of 9657 and 9665 is 93334905.
2. What are the Factors of 9657?
Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.
3. What are the Factors of 9665?
Answer: Factors of 9665 are 1, 5, 1933, 9665. There are 4 integers that are factors of 9665. The greatest factor of 9665 is 9665.
4. How to Find the LCM of 9657 and 9665?
Answer:
Least Common Multiple of 9657 and 9665 = 93334905
Step 1: Find the prime factorization of 9657
9657 = 3 x 3 x 29 x 37
Step 2: Find the prime factorization of 9665
9665 = 5 x 1933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93334905 = 3 x 3 x 5 x 29 x 37 x 1933
Step 4: Therefore, the least common multiple of 9657 and 9665 is 93334905.