Least Common Multiple of 9436 and 9443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9436 and 9443 the smallest integer that is 12729164 that is divisible by both numbers.
Least Common Multiple (LCM) of 9436 and 9443 is 12729164.
LCM(9436,9443) = 12729164
LCM of 9436 and 9443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9436 and 9443 by Prime method
- Least Common Multiple of 9436 and 9443 with GCF Formula
LCM of 9436 and 9443 is 12729164
Least common multiple can be found by multiplying the highest exponent prime factors of 9436 and 9443. First we will calculate the prime factors of 9436 and 9443.
Prime Factorization of 9436
| 2 | 9436 |
| 2 | 4718 |
| 7 | 2359 |
| 337 | 337 |
| 1 |
Prime factors of 9436 are 2, 7,337. Prime factorization of 9436 in exponential form is:
9436 = 22×71×3371
Prime Factorization of 9443
| 7 | 9443 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 9443 are 7, 19,71. Prime factorization of 9443 in exponential form is:
9443 = 71×191×711
Now multiplying the highest exponent prime factors to calculate the LCM of 9436 and 9443.
LCM(9436,9443) = 22×71×191×711×3371
LCM(9436,9443) = 12729164
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1, 7, 19, 71, 133, 497, 1349, 9443
Least Common Multiple of 9436 and 9443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9436 and 9443, than apply into the LCM equation.
GCF(9436,9443) = 7
LCM(9436,9443) = ( 9436 × 9443) / 7
LCM(9436,9443) = 89104148 / 7
LCM(9436,9443) = 12729164
Properties of LCM 9436 and 9443
(i) The LCM of 9443 and 9436 is associative
LCM of 9436 and 9443 = LCM of 9443 and 9436
Related Least Common Multiples of 9436
Related Least Common Multiples of 9443
Frequently Asked Questions on LCM of 9436 and 9443
1. What is the LCM of 9436 and 9443?
Answer: LCM of 9436 and 9443 is 12729164.
2. What are the Factors of 9436?
Answer: Factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436. There are 12 integers that are factors of 9436. The greatest factor of 9436 is 9436.
3. What are the Factors of 9443?
Answer: Factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443. There are 8 integers that are factors of 9443. The greatest factor of 9443 is 9443.
4. How to Find the LCM of 9436 and 9443?
Answer:
Least Common Multiple of 9436 and 9443 = 12729164
Step 1: Find the prime factorization of 9436
9436 = 2 x 2 x 7 x 337
Step 2: Find the prime factorization of 9443
9443 = 7 x 19 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12729164 = 2 x 2 x 7 x 19 x 71 x 337
Step 4: Therefore, the least common multiple of 9436 and 9443 is 12729164.