Least Common Multiple of 9713 and 9717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9713 and 9717 the smallest integer that is 94381221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9713 and 9717 is 94381221.
LCM(9713,9717) = 94381221
LCM of 9713 and 9717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9713 and 9717 by Prime method
- Least Common Multiple of 9713 and 9717 with GCF Formula
LCM of 9713 and 9717 is 94381221
Least common multiple can be found by multiplying the highest exponent prime factors of 9713 and 9717. First we will calculate the prime factors of 9713 and 9717.
Prime Factorization of 9713
| 11 | 9713 |
| 883 | 883 |
| 1 |
Prime factors of 9713 are 11,883. Prime factorization of 9713 in exponential form is:
9713 = 111×8831
Prime Factorization of 9717
| 3 | 9717 |
| 41 | 3239 |
| 79 | 79 |
| 1 |
Prime factors of 9717 are 3, 41,79. Prime factorization of 9717 in exponential form is:
9717 = 31×411×791
Now multiplying the highest exponent prime factors to calculate the LCM of 9713 and 9717.
LCM(9713,9717) = 31×111×411×791×8831
LCM(9713,9717) = 94381221
Factors of 9713
List of positive integer factors of 9713 that divides 9713 without a remainder.
1, 11, 883, 9713
Factors of 9717
List of positive integer factors of 9717 that divides 9717 without a remainder.
1, 3, 41, 79, 123, 237, 3239, 9717
Least Common Multiple of 9713 and 9717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9713 and 9717, than apply into the LCM equation.
GCF(9713,9717) = 1
LCM(9713,9717) = ( 9713 × 9717) / 1
LCM(9713,9717) = 94381221 / 1
LCM(9713,9717) = 94381221
Properties of LCM 9713 and 9717
(i) The LCM of 9717 and 9713 is associative
LCM of 9713 and 9717 = LCM of 9717 and 9713
Related Least Common Multiples of 9713
Related Least Common Multiples of 9717
Frequently Asked Questions on LCM of 9713 and 9717
1. What is the LCM of 9713 and 9717?
Answer: LCM of 9713 and 9717 is 94381221.
2. What are the Factors of 9713?
Answer: Factors of 9713 are 1, 11, 883, 9713. There are 4 integers that are factors of 9713. The greatest factor of 9713 is 9713.
3. What are the Factors of 9717?
Answer: Factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717. There are 8 integers that are factors of 9717. The greatest factor of 9717 is 9717.
4. How to Find the LCM of 9713 and 9717?
Answer:
Least Common Multiple of 9713 and 9717 = 94381221
Step 1: Find the prime factorization of 9713
9713 = 11 x 883
Step 2: Find the prime factorization of 9717
9717 = 3 x 41 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94381221 = 3 x 11 x 41 x 79 x 883
Step 4: Therefore, the least common multiple of 9713 and 9717 is 94381221.