Least Common Multiple of 8714 and 8721
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8714 and 8721 the smallest integer that is 75994794 that is divisible by both numbers.
Least Common Multiple (LCM) of 8714 and 8721 is 75994794.
LCM(8714,8721) = 75994794
LCM of 8714 and 8721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8714 and 8721 by Prime method
- Least Common Multiple of 8714 and 8721 with GCF Formula
LCM of 8714 and 8721 is 75994794
Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8721. First we will calculate the prime factors of 8714 and 8721.
Prime Factorization of 8714
| 2 | 8714 |
| 4357 | 4357 |
| 1 |
Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:
8714 = 21×43571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8721.
LCM(8714,8721) = 21×33×171×191×43571
LCM(8714,8721) = 75994794
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1, 2, 4357, 8714
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
Least Common Multiple of 8714 and 8721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8721, than apply into the LCM equation.
GCF(8714,8721) = 1
LCM(8714,8721) = ( 8714 × 8721) / 1
LCM(8714,8721) = 75994794 / 1
LCM(8714,8721) = 75994794
Properties of LCM 8714 and 8721
(i) The LCM of 8721 and 8714 is associative
LCM of 8714 and 8721 = LCM of 8721 and 8714
Related Least Common Multiples of 8714
Related Least Common Multiples of 8721
Frequently Asked Questions on LCM of 8714 and 8721
1. What is the LCM of 8714 and 8721?
Answer: LCM of 8714 and 8721 is 75994794.
2. What are the Factors of 8714?
Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.
3. 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.
4. How to Find the LCM of 8714 and 8721?
Answer:
Least Common Multiple of 8714 and 8721 = 75994794
Step 1: Find the prime factorization of 8714
8714 = 2 x 4357
Step 2: Find the prime factorization of 8721
8721 = 3 x 3 x 3 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75994794 = 2 x 3 x 3 x 3 x 17 x 19 x 4357
Step 4: Therefore, the least common multiple of 8714 and 8721 is 75994794.