Least Common Multiple of 8709 and 8717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8709 and 8717 the smallest integer that is 75916353 that is divisible by both numbers.
Least Common Multiple (LCM) of 8709 and 8717 is 75916353.
LCM(8709,8717) = 75916353
LCM of 8709 and 8717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8709 and 8717 by Prime method
- Least Common Multiple of 8709 and 8717 with GCF Formula
LCM of 8709 and 8717 is 75916353
Least common multiple can be found by multiplying the highest exponent prime factors of 8709 and 8717. First we will calculate the prime factors of 8709 and 8717.
Prime Factorization of 8709
| 3 | 8709 |
| 2903 | 2903 |
| 1 |
Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:
8709 = 31×29031
Prime Factorization of 8717
| 23 | 8717 |
| 379 | 379 |
| 1 |
Prime factors of 8717 are 23,379. Prime factorization of 8717 in exponential form is:
8717 = 231×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 8709 and 8717.
LCM(8709,8717) = 31×231×3791×29031
LCM(8709,8717) = 75916353
Factors of 8709
List of positive integer factors of 8709 that divides 8709 without a remainder.
1, 3, 2903, 8709
Factors of 8717
List of positive integer factors of 8717 that divides 8717 without a remainder.
1, 23, 379, 8717
Least Common Multiple of 8709 and 8717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8709 and 8717, than apply into the LCM equation.
GCF(8709,8717) = 1
LCM(8709,8717) = ( 8709 × 8717) / 1
LCM(8709,8717) = 75916353 / 1
LCM(8709,8717) = 75916353
Properties of LCM 8709 and 8717
(i) The LCM of 8717 and 8709 is associative
LCM of 8709 and 8717 = LCM of 8717 and 8709
Related Least Common Multiples of 8709
Related Least Common Multiples of 8717
Frequently Asked Questions on LCM of 8709 and 8717
1. What is the LCM of 8709 and 8717?
Answer: LCM of 8709 and 8717 is 75916353.
2. What are the Factors of 8709?
Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.
3. What are the Factors of 8717?
Answer: Factors of 8717 are 1, 23, 379, 8717. There are 4 integers that are factors of 8717. The greatest factor of 8717 is 8717.
4. How to Find the LCM of 8709 and 8717?
Answer:
Least Common Multiple of 8709 and 8717 = 75916353
Step 1: Find the prime factorization of 8709
8709 = 3 x 2903
Step 2: Find the prime factorization of 8717
8717 = 23 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75916353 = 3 x 23 x 379 x 2903
Step 4: Therefore, the least common multiple of 8709 and 8717 is 75916353.