Least Common Multiple of 8443 and 8449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8443 and 8449 the smallest integer that is 71334907 that is divisible by both numbers.
Least Common Multiple (LCM) of 8443 and 8449 is 71334907.
LCM(8443,8449) = 71334907
LCM of 8443 and 8449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8443 and 8449 by Prime method
- Least Common Multiple of 8443 and 8449 with GCF Formula
LCM of 8443 and 8449 is 71334907
Least common multiple can be found by multiplying the highest exponent prime factors of 8443 and 8449. First we will calculate the prime factors of 8443 and 8449.
Prime Factorization of 8443
| 8443 | 8443 |
| 1 |
Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:
8443 = 84431
Prime Factorization of 8449
| 7 | 8449 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 8449 are 7, 17,71. Prime factorization of 8449 in exponential form is:
8449 = 71×171×711
Now multiplying the highest exponent prime factors to calculate the LCM of 8443 and 8449.
LCM(8443,8449) = 71×171×711×84431
LCM(8443,8449) = 71334907
Factors of 8443
List of positive integer factors of 8443 that divides 8443 without a remainder.
1, 8443
Factors of 8449
List of positive integer factors of 8449 that divides 8449 without a remainder.
1, 7, 17, 71, 119, 497, 1207, 8449
Least Common Multiple of 8443 and 8449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8443 and 8449, than apply into the LCM equation.
GCF(8443,8449) = 1
LCM(8443,8449) = ( 8443 × 8449) / 1
LCM(8443,8449) = 71334907 / 1
LCM(8443,8449) = 71334907
Properties of LCM 8443 and 8449
(i) The LCM of 8449 and 8443 is associative
LCM of 8443 and 8449 = LCM of 8449 and 8443
Related Least Common Multiples of 8443
Related Least Common Multiples of 8449
Frequently Asked Questions on LCM of 8443 and 8449
1. What is the LCM of 8443 and 8449?
Answer: LCM of 8443 and 8449 is 71334907.
2. What are the Factors of 8443?
Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.
3. What are the Factors of 8449?
Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.
4. How to Find the LCM of 8443 and 8449?
Answer:
Least Common Multiple of 8443 and 8449 = 71334907
Step 1: Find the prime factorization of 8443
8443 = 8443
Step 2: Find the prime factorization of 8449
8449 = 7 x 17 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 = 71334907 = 7 x 17 x 71 x 8443
Step 4: Therefore, the least common multiple of 8443 and 8449 is 71334907.