Least Common Multiple of 9329 and 9334
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9334 the smallest integer that is 87076886 that is divisible by both numbers.
Least Common Multiple (LCM) of 9329 and 9334 is 87076886.
LCM(9329,9334) = 87076886
LCM of 9329 and 9334
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9329 and 9334 by Prime method
- Least Common Multiple of 9329 and 9334 with GCF Formula
LCM of 9329 and 9334 is 87076886
Least common multiple can be found by multiplying the highest exponent prime factors of 9329 and 9334. First we will calculate the prime factors of 9329 and 9334.
Prime Factorization of 9329
| 19 | 9329 |
| 491 | 491 |
| 1 |
Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:
9329 = 191×4911
Prime Factorization of 9334
| 2 | 9334 |
| 13 | 4667 |
| 359 | 359 |
| 1 |
Prime factors of 9334 are 2, 13,359. Prime factorization of 9334 in exponential form is:
9334 = 21×131×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9334.
LCM(9329,9334) = 21×131×191×3591×4911
LCM(9329,9334) = 87076886
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1, 19, 491, 9329
Factors of 9334
List of positive integer factors of 9334 that divides 9334 without a remainder.
1, 2, 13, 26, 359, 718, 4667, 9334
Least Common Multiple of 9329 and 9334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9334, than apply into the LCM equation.
GCF(9329,9334) = 1
LCM(9329,9334) = ( 9329 × 9334) / 1
LCM(9329,9334) = 87076886 / 1
LCM(9329,9334) = 87076886
Properties of LCM 9329 and 9334
(i) The LCM of 9334 and 9329 is associative
LCM of 9329 and 9334 = LCM of 9334 and 9329
Related Least Common Multiples of 9329
Related Least Common Multiples of 9334
Frequently Asked Questions on LCM of 9329 and 9334
1. What is the LCM of 9329 and 9334?
Answer: LCM of 9329 and 9334 is 87076886.
2. What are the Factors of 9329?
Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.
3. What are the Factors of 9334?
Answer: Factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334. There are 8 integers that are factors of 9334. The greatest factor of 9334 is 9334.
4. How to Find the LCM of 9329 and 9334?
Answer:
Least Common Multiple of 9329 and 9334 = 87076886
Step 1: Find the prime factorization of 9329
9329 = 19 x 491
Step 2: Find the prime factorization of 9334
9334 = 2 x 13 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87076886 = 2 x 13 x 19 x 359 x 491
Step 4: Therefore, the least common multiple of 9329 and 9334 is 87076886.