Least Common Multiple of 6431 and 6439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6431 and 6439 the smallest integer that is 41409209 that is divisible by both numbers.
Least Common Multiple (LCM) of 6431 and 6439 is 41409209.
LCM(6431,6439) = 41409209
LCM of 6431 and 6439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6431 and 6439 by Prime method
- Least Common Multiple of 6431 and 6439 with GCF Formula
LCM of 6431 and 6439 is 41409209
Least common multiple can be found by multiplying the highest exponent prime factors of 6431 and 6439. First we will calculate the prime factors of 6431 and 6439.
Prime Factorization of 6431
| 59 | 6431 |
| 109 | 109 |
| 1 |
Prime factors of 6431 are 59,109. Prime factorization of 6431 in exponential form is:
6431 = 591×1091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6431 and 6439.
LCM(6431,6439) = 471×591×1091×1371
LCM(6431,6439) = 41409209
Factors of 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1, 59, 109, 6431
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1, 47, 137, 6439
Least Common Multiple of 6431 and 6439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6431 and 6439, than apply into the LCM equation.
GCF(6431,6439) = 1
LCM(6431,6439) = ( 6431 × 6439) / 1
LCM(6431,6439) = 41409209 / 1
LCM(6431,6439) = 41409209
Properties of LCM 6431 and 6439
(i) The LCM of 6439 and 6431 is associative
LCM of 6431 and 6439 = LCM of 6439 and 6431
Related Least Common Multiples of 6431
Related Least Common Multiples of 6439
Frequently Asked Questions on LCM of 6431 and 6439
1. What is the LCM of 6431 and 6439?
Answer: LCM of 6431 and 6439 is 41409209.
2. What are the Factors of 6431?
Answer: Factors of 6431 are 1, 59, 109, 6431. There are 4 integers that are factors of 6431. The greatest factor of 6431 is 6431.
3. 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.
4. How to Find the LCM of 6431 and 6439?
Answer:
Least Common Multiple of 6431 and 6439 = 41409209
Step 1: Find the prime factorization of 6431
6431 = 59 x 109
Step 2: Find the prime factorization of 6439
6439 = 47 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41409209 = 47 x 59 x 109 x 137
Step 4: Therefore, the least common multiple of 6431 and 6439 is 41409209.