Least Common Multiple of 9510 and 9517
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9510 and 9517 the smallest integer that is 90506670 that is divisible by both numbers.
Least Common Multiple (LCM) of 9510 and 9517 is 90506670.
LCM(9510,9517) = 90506670
LCM of 9510 and 9517
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9510 and 9517 by Prime method
- Least Common Multiple of 9510 and 9517 with GCF Formula
LCM of 9510 and 9517 is 90506670
Least common multiple can be found by multiplying the highest exponent prime factors of 9510 and 9517. First we will calculate the prime factors of 9510 and 9517.
Prime Factorization of 9510
| 2 | 9510 |
| 3 | 4755 |
| 5 | 1585 |
| 317 | 317 |
| 1 |
Prime factors of 9510 are 2, 3, 5,317. Prime factorization of 9510 in exponential form is:
9510 = 21×31×51×3171
Prime Factorization of 9517
| 31 | 9517 |
| 307 | 307 |
| 1 |
Prime factors of 9517 are 31,307. Prime factorization of 9517 in exponential form is:
9517 = 311×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 9510 and 9517.
LCM(9510,9517) = 21×31×51×311×3071×3171
LCM(9510,9517) = 90506670
Factors of 9510
List of positive integer factors of 9510 that divides 9510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510
Factors of 9517
List of positive integer factors of 9517 that divides 9517 without a remainder.
1, 31, 307, 9517
Least Common Multiple of 9510 and 9517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9510 and 9517, than apply into the LCM equation.
GCF(9510,9517) = 1
LCM(9510,9517) = ( 9510 × 9517) / 1
LCM(9510,9517) = 90506670 / 1
LCM(9510,9517) = 90506670
Properties of LCM 9510 and 9517
(i) The LCM of 9517 and 9510 is associative
LCM of 9510 and 9517 = LCM of 9517 and 9510
Related Least Common Multiples of 9510
Related Least Common Multiples of 9517
Frequently Asked Questions on LCM of 9510 and 9517
1. What is the LCM of 9510 and 9517?
Answer: LCM of 9510 and 9517 is 90506670.
2. What are the Factors of 9510?
Answer: Factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510. There are 16 integers that are factors of 9510. The greatest factor of 9510 is 9510.
3. What are the Factors of 9517?
Answer: Factors of 9517 are 1, 31, 307, 9517. There are 4 integers that are factors of 9517. The greatest factor of 9517 is 9517.
4. How to Find the LCM of 9510 and 9517?
Answer:
Least Common Multiple of 9510 and 9517 = 90506670
Step 1: Find the prime factorization of 9510
9510 = 2 x 3 x 5 x 317
Step 2: Find the prime factorization of 9517
9517 = 31 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90506670 = 2 x 3 x 5 x 31 x 307 x 317
Step 4: Therefore, the least common multiple of 9510 and 9517 is 90506670.