Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8717 and 8721 the smallest integer that is 76020957 that is divisible by both numbers.
Least Common Multiple (LCM) of 8717 and 8721 is 76020957.
LCM(8717,8721) = 76020957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8717 and 8721. First we will calculate the prime factors of 8717 and 8721.
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
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 8717 and 8721.
LCM(8717,8721) = 33×171×191×231×3791
LCM(8717,8721) = 76020957
Factors of 8717
List of positive integer factors of 8717 that divides 8717 without a remainder.
1, 23, 379, 8717
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8717 and 8721, than apply into the LCM equation.
GCF(8717,8721) = 1
LCM(8717,8721) = ( 8717 × 8721) / 1
LCM(8717,8721) = 76020957 / 1
LCM(8717,8721) = 76020957
(i) The LCM of 8721 and 8717 is associative
LCM of 8717 and 8721 = LCM of 8721 and 8717
1. What is the LCM of 8717 and 8721?
Answer: LCM of 8717 and 8721 is 76020957.
2. 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.
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 8717 and 8721?
Answer:
Least Common Multiple of 8717 and 8721 = 76020957
Step 1: Find the prime factorization of 8717
8717 = 23 x 379
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 = 76020957 = 3 x 3 x 3 x 17 x 19 x 23 x 379
Step 4: Therefore, the least common multiple of 8717 and 8721 is 76020957.