Least Common Multiple of 6439 and 6443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6439 and 6443 the smallest integer that is 41486477 that is divisible by both numbers.
Least Common Multiple (LCM) of 6439 and 6443 is 41486477.
LCM(6439,6443) = 41486477
LCM of 6439 and 6443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6439 and 6443 by Prime method
- Least Common Multiple of 6439 and 6443 with GCF Formula
LCM of 6439 and 6443 is 41486477
Least common multiple can be found by multiplying the highest exponent prime factors of 6439 and 6443. First we will calculate the prime factors of 6439 and 6443.
Prime Factorization of 6439
| 47 | 6439 |
| 137 | 137 |
| 1 |
Prime factors of 6439 are 47,137. Prime factorization of 6439 in exponential form is:
6439 = 471×1371
Prime Factorization of 6443
| 17 | 6443 |
| 379 | 379 |
| 1 |
Prime factors of 6443 are 17,379. Prime factorization of 6443 in exponential form is:
6443 = 171×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 6439 and 6443.
LCM(6439,6443) = 171×471×1371×3791
LCM(6439,6443) = 41486477
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1, 47, 137, 6439
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1, 17, 379, 6443
Least Common Multiple of 6439 and 6443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6439 and 6443, than apply into the LCM equation.
GCF(6439,6443) = 1
LCM(6439,6443) = ( 6439 × 6443) / 1
LCM(6439,6443) = 41486477 / 1
LCM(6439,6443) = 41486477
Properties of LCM 6439 and 6443
(i) The LCM of 6443 and 6439 is associative
LCM of 6439 and 6443 = LCM of 6443 and 6439
Related Least Common Multiples of 6439
Related Least Common Multiples of 6443
Frequently Asked Questions on LCM of 6439 and 6443
1. What is the LCM of 6439 and 6443?
Answer: LCM of 6439 and 6443 is 41486477.
2. What are the Factors of 6439?
Answer: Factors of 6439 are 1, 47, 137, 6439. There are 4 integers that are factors of 6439. The greatest factor of 6439 is 6439.
3. What are the Factors of 6443?
Answer: Factors of 6443 are 1, 17, 379, 6443. There are 4 integers that are factors of 6443. The greatest factor of 6443 is 6443.
4. How to Find the LCM of 6439 and 6443?
Answer:
Least Common Multiple of 6439 and 6443 = 41486477
Step 1: Find the prime factorization of 6439
6439 = 47 x 137
Step 2: Find the prime factorization of 6443
6443 = 17 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41486477 = 17 x 47 x 137 x 379
Step 4: Therefore, the least common multiple of 6439 and 6443 is 41486477.