Least Common Multiple of 8721 and 8729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8721 and 8729 the smallest integer that is 76125609 that is divisible by both numbers.
Least Common Multiple (LCM) of 8721 and 8729 is 76125609.
LCM(8721,8729) = 76125609
LCM of 8721 and 8729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8721 and 8729 by Prime method
- Least Common Multiple of 8721 and 8729 with GCF Formula
LCM of 8721 and 8729 is 76125609
Least common multiple can be found by multiplying the highest exponent prime factors of 8721 and 8729. First we will calculate the prime factors of 8721 and 8729.
Prime Factorization of 8721
| 3 | 8721 |
| 3 | 2907 |
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 8721 are 3, 17,19. Prime factorization of 8721 in exponential form is:
8721 = 33×171×191
Prime Factorization of 8729
| 7 | 8729 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 8729 are 7, 29,43. Prime factorization of 8729 in exponential form is:
8729 = 71×291×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8721 and 8729.
LCM(8721,8729) = 33×71×171×191×291×431
LCM(8721,8729) = 76125609
Factors of 8721
List of positive integer factors of 8721 that divides 8721 without a remainder.
1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
Factors of 8729
List of positive integer factors of 8729 that divides 8729 without a remainder.
1, 7, 29, 43, 203, 301, 1247, 8729
Least Common Multiple of 8721 and 8729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8721 and 8729, than apply into the LCM equation.
GCF(8721,8729) = 1
LCM(8721,8729) = ( 8721 × 8729) / 1
LCM(8721,8729) = 76125609 / 1
LCM(8721,8729) = 76125609
Properties of LCM 8721 and 8729
(i) The LCM of 8729 and 8721 is associative
LCM of 8721 and 8729 = LCM of 8729 and 8721
Related Least Common Multiples of 8721
Related Least Common Multiples of 8729
Frequently Asked Questions on LCM of 8721 and 8729
1. What is the LCM of 8721 and 8729?
Answer: LCM of 8721 and 8729 is 76125609.
2. What are the Factors of 8721?
Answer: Factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721. There are 16 integers that are factors of 8721. The greatest factor of 8721 is 8721.
3. What are the Factors of 8729?
Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.
4. How to Find the LCM of 8721 and 8729?
Answer:
Least Common Multiple of 8721 and 8729 = 76125609
Step 1: Find the prime factorization of 8721
8721 = 3 x 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 8729
8729 = 7 x 29 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76125609 = 3 x 3 x 3 x 7 x 17 x 19 x 29 x 43
Step 4: Therefore, the least common multiple of 8721 and 8729 is 76125609.