Least Common Multiple of 9339 and 9347
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9339 and 9347 the smallest integer that is 87291633 that is divisible by both numbers.
Least Common Multiple (LCM) of 9339 and 9347 is 87291633.
LCM(9339,9347) = 87291633
LCM of 9339 and 9347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9339 and 9347 by Prime method
- Least Common Multiple of 9339 and 9347 with GCF Formula
LCM of 9339 and 9347 is 87291633
Least common multiple can be found by multiplying the highest exponent prime factors of 9339 and 9347. First we will calculate the prime factors of 9339 and 9347.
Prime Factorization of 9339
| 3 | 9339 |
| 11 | 3113 |
| 283 | 283 |
| 1 |
Prime factors of 9339 are 3, 11,283. Prime factorization of 9339 in exponential form is:
9339 = 31×111×2831
Prime Factorization of 9347
| 13 | 9347 |
| 719 | 719 |
| 1 |
Prime factors of 9347 are 13,719. Prime factorization of 9347 in exponential form is:
9347 = 131×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 9339 and 9347.
LCM(9339,9347) = 31×111×131×2831×7191
LCM(9339,9347) = 87291633
Factors of 9339
List of positive integer factors of 9339 that divides 9339 without a remainder.
1, 3, 11, 33, 283, 849, 3113, 9339
Factors of 9347
List of positive integer factors of 9347 that divides 9347 without a remainder.
1, 13, 719, 9347
Least Common Multiple of 9339 and 9347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9339 and 9347, than apply into the LCM equation.
GCF(9339,9347) = 1
LCM(9339,9347) = ( 9339 × 9347) / 1
LCM(9339,9347) = 87291633 / 1
LCM(9339,9347) = 87291633
Properties of LCM 9339 and 9347
(i) The LCM of 9347 and 9339 is associative
LCM of 9339 and 9347 = LCM of 9347 and 9339
Related Least Common Multiples of 9339
Related Least Common Multiples of 9347
Frequently Asked Questions on LCM of 9339 and 9347
1. What is the LCM of 9339 and 9347?
Answer: LCM of 9339 and 9347 is 87291633.
2. What are the Factors of 9339?
Answer: Factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339. There are 8 integers that are factors of 9339. The greatest factor of 9339 is 9339.
3. What are the Factors of 9347?
Answer: Factors of 9347 are 1, 13, 719, 9347. There are 4 integers that are factors of 9347. The greatest factor of 9347 is 9347.
4. How to Find the LCM of 9339 and 9347?
Answer:
Least Common Multiple of 9339 and 9347 = 87291633
Step 1: Find the prime factorization of 9339
9339 = 3 x 11 x 283
Step 2: Find the prime factorization of 9347
9347 = 13 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87291633 = 3 x 11 x 13 x 283 x 719
Step 4: Therefore, the least common multiple of 9339 and 9347 is 87291633.