Least Common Multiple of 9387 and 9394
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9387 and 9394 the smallest integer that is 12597354 that is divisible by both numbers.
Least Common Multiple (LCM) of 9387 and 9394 is 12597354.
LCM(9387,9394) = 12597354
LCM of 9387 and 9394
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9387 and 9394 by Prime method
- Least Common Multiple of 9387 and 9394 with GCF Formula
LCM of 9387 and 9394 is 12597354
Least common multiple can be found by multiplying the highest exponent prime factors of 9387 and 9394. First we will calculate the prime factors of 9387 and 9394.
Prime Factorization of 9387
| 3 | 9387 |
| 3 | 3129 |
| 7 | 1043 |
| 149 | 149 |
| 1 |
Prime factors of 9387 are 3, 7,149. Prime factorization of 9387 in exponential form is:
9387 = 32×71×1491
Prime Factorization of 9394
| 2 | 9394 |
| 7 | 4697 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 9394 are 2, 7, 11,61. Prime factorization of 9394 in exponential form is:
9394 = 21×71×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 9387 and 9394.
LCM(9387,9394) = 21×32×71×111×611×1491
LCM(9387,9394) = 12597354
Factors of 9387
List of positive integer factors of 9387 that divides 9387 without a remainder.
1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387
Factors of 9394
List of positive integer factors of 9394 that divides 9394 without a remainder.
1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394
Least Common Multiple of 9387 and 9394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9387 and 9394, than apply into the LCM equation.
GCF(9387,9394) = 7
LCM(9387,9394) = ( 9387 × 9394) / 7
LCM(9387,9394) = 88181478 / 7
LCM(9387,9394) = 12597354
Properties of LCM 9387 and 9394
(i) The LCM of 9394 and 9387 is associative
LCM of 9387 and 9394 = LCM of 9394 and 9387
Related Least Common Multiples of 9387
Related Least Common Multiples of 9394
Frequently Asked Questions on LCM of 9387 and 9394
1. What is the LCM of 9387 and 9394?
Answer: LCM of 9387 and 9394 is 12597354.
2. What are the Factors of 9387?
Answer: Factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387. There are 12 integers that are factors of 9387. The greatest factor of 9387 is 9387.
3. What are the Factors of 9394?
Answer: Factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394. There are 16 integers that are factors of 9394. The greatest factor of 9394 is 9394.
4. How to Find the LCM of 9387 and 9394?
Answer:
Least Common Multiple of 9387 and 9394 = 12597354
Step 1: Find the prime factorization of 9387
9387 = 3 x 3 x 7 x 149
Step 2: Find the prime factorization of 9394
9394 = 2 x 7 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12597354 = 2 x 3 x 3 x 7 x 11 x 61 x 149
Step 4: Therefore, the least common multiple of 9387 and 9394 is 12597354.