Least Common Multiple of 8510 and 8517
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8510 and 8517 the smallest integer that is 72479670 that is divisible by both numbers.
Least Common Multiple (LCM) of 8510 and 8517 is 72479670.
LCM(8510,8517) = 72479670
LCM of 8510 and 8517
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8510 and 8517 by Prime method
- Least Common Multiple of 8510 and 8517 with GCF Formula
LCM of 8510 and 8517 is 72479670
Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8517. First we will calculate the prime factors of 8510 and 8517.
Prime Factorization of 8510
| 2 | 8510 |
| 5 | 4255 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 8510 are 2, 5, 23,37. Prime factorization of 8510 in exponential form is:
8510 = 21×51×231×371
Prime Factorization of 8517
| 3 | 8517 |
| 17 | 2839 |
| 167 | 167 |
| 1 |
Prime factors of 8517 are 3, 17,167. Prime factorization of 8517 in exponential form is:
8517 = 31×171×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8517.
LCM(8510,8517) = 21×31×51×171×231×371×1671
LCM(8510,8517) = 72479670
Factors of 8510
List of positive integer factors of 8510 that divides 8510 without a remainder.
1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
Factors of 8517
List of positive integer factors of 8517 that divides 8517 without a remainder.
1, 3, 17, 51, 167, 501, 2839, 8517
Least Common Multiple of 8510 and 8517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8517, than apply into the LCM equation.
GCF(8510,8517) = 1
LCM(8510,8517) = ( 8510 × 8517) / 1
LCM(8510,8517) = 72479670 / 1
LCM(8510,8517) = 72479670
Properties of LCM 8510 and 8517
(i) The LCM of 8517 and 8510 is associative
LCM of 8510 and 8517 = LCM of 8517 and 8510
Related Least Common Multiples of 8510
Related Least Common Multiples of 8517
Frequently Asked Questions on LCM of 8510 and 8517
1. What is the LCM of 8510 and 8517?
Answer: LCM of 8510 and 8517 is 72479670.
2. What are the Factors of 8510?
Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.
3. What are the Factors of 8517?
Answer: Factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517. There are 8 integers that are factors of 8517. The greatest factor of 8517 is 8517.
4. How to Find the LCM of 8510 and 8517?
Answer:
Least Common Multiple of 8510 and 8517 = 72479670
Step 1: Find the prime factorization of 8510
8510 = 2 x 5 x 23 x 37
Step 2: Find the prime factorization of 8517
8517 = 3 x 17 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72479670 = 2 x 3 x 5 x 17 x 23 x 37 x 167
Step 4: Therefore, the least common multiple of 8510 and 8517 is 72479670.