Least Common Multiple of 9309 and 9313
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9309 and 9313 the smallest integer that is 86694717 that is divisible by both numbers.
Least Common Multiple (LCM) of 9309 and 9313 is 86694717.
LCM(9309,9313) = 86694717
LCM of 9309 and 9313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9309 and 9313 by Prime method
- Least Common Multiple of 9309 and 9313 with GCF Formula
LCM of 9309 and 9313 is 86694717
Least common multiple can be found by multiplying the highest exponent prime factors of 9309 and 9313. First we will calculate the prime factors of 9309 and 9313.
Prime Factorization of 9309
| 3 | 9309 |
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 9309 are 3, 29,107. Prime factorization of 9309 in exponential form is:
9309 = 31×291×1071
Prime Factorization of 9313
| 67 | 9313 |
| 139 | 139 |
| 1 |
Prime factors of 9313 are 67,139. Prime factorization of 9313 in exponential form is:
9313 = 671×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 9309 and 9313.
LCM(9309,9313) = 31×291×671×1071×1391
LCM(9309,9313) = 86694717
Factors of 9309
List of positive integer factors of 9309 that divides 9309 without a remainder.
1, 3, 29, 87, 107, 321, 3103, 9309
Factors of 9313
List of positive integer factors of 9313 that divides 9313 without a remainder.
1, 67, 139, 9313
Least Common Multiple of 9309 and 9313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9309 and 9313, than apply into the LCM equation.
GCF(9309,9313) = 1
LCM(9309,9313) = ( 9309 × 9313) / 1
LCM(9309,9313) = 86694717 / 1
LCM(9309,9313) = 86694717
Properties of LCM 9309 and 9313
(i) The LCM of 9313 and 9309 is associative
LCM of 9309 and 9313 = LCM of 9313 and 9309
Related Least Common Multiples of 9309
Related Least Common Multiples of 9313
Frequently Asked Questions on LCM of 9309 and 9313
1. What is the LCM of 9309 and 9313?
Answer: LCM of 9309 and 9313 is 86694717.
2. What are the Factors of 9309?
Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.
3. What are the Factors of 9313?
Answer: Factors of 9313 are 1, 67, 139, 9313. There are 4 integers that are factors of 9313. The greatest factor of 9313 is 9313.
4. How to Find the LCM of 9309 and 9313?
Answer:
Least Common Multiple of 9309 and 9313 = 86694717
Step 1: Find the prime factorization of 9309
9309 = 3 x 29 x 107
Step 2: Find the prime factorization of 9313
9313 = 67 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86694717 = 3 x 29 x 67 x 107 x 139
Step 4: Therefore, the least common multiple of 9309 and 9313 is 86694717.