Least Common Multiple of 9617 and 9622
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9617 and 9622 the smallest integer that is 92534774 that is divisible by both numbers.
Least Common Multiple (LCM) of 9617 and 9622 is 92534774.
LCM(9617,9622) = 92534774
LCM of 9617 and 9622
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9617 and 9622 by Prime method
- Least Common Multiple of 9617 and 9622 with GCF Formula
LCM of 9617 and 9622 is 92534774
Least common multiple can be found by multiplying the highest exponent prime factors of 9617 and 9622. First we will calculate the prime factors of 9617 and 9622.
Prime Factorization of 9617
| 59 | 9617 |
| 163 | 163 |
| 1 |
Prime factors of 9617 are 59,163. Prime factorization of 9617 in exponential form is:
9617 = 591×1631
Prime Factorization of 9622
| 2 | 9622 |
| 17 | 4811 |
| 283 | 283 |
| 1 |
Prime factors of 9622 are 2, 17,283. Prime factorization of 9622 in exponential form is:
9622 = 21×171×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 9617 and 9622.
LCM(9617,9622) = 21×171×591×1631×2831
LCM(9617,9622) = 92534774
Factors of 9617
List of positive integer factors of 9617 that divides 9617 without a remainder.
1, 59, 163, 9617
Factors of 9622
List of positive integer factors of 9622 that divides 9622 without a remainder.
1, 2, 17, 34, 283, 566, 4811, 9622
Least Common Multiple of 9617 and 9622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9617 and 9622, than apply into the LCM equation.
GCF(9617,9622) = 1
LCM(9617,9622) = ( 9617 × 9622) / 1
LCM(9617,9622) = 92534774 / 1
LCM(9617,9622) = 92534774
Properties of LCM 9617 and 9622
(i) The LCM of 9622 and 9617 is associative
LCM of 9617 and 9622 = LCM of 9622 and 9617
Related Least Common Multiples of 9617
Related Least Common Multiples of 9622
Frequently Asked Questions on LCM of 9617 and 9622
1. What is the LCM of 9617 and 9622?
Answer: LCM of 9617 and 9622 is 92534774.
2. What are the Factors of 9617?
Answer: Factors of 9617 are 1, 59, 163, 9617. There are 4 integers that are factors of 9617. The greatest factor of 9617 is 9617.
3. What are the Factors of 9622?
Answer: Factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622. There are 8 integers that are factors of 9622. The greatest factor of 9622 is 9622.
4. How to Find the LCM of 9617 and 9622?
Answer:
Least Common Multiple of 9617 and 9622 = 92534774
Step 1: Find the prime factorization of 9617
9617 = 59 x 163
Step 2: Find the prime factorization of 9622
9622 = 2 x 17 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92534774 = 2 x 17 x 59 x 163 x 283
Step 4: Therefore, the least common multiple of 9617 and 9622 is 92534774.