Least Common Multiple of 6433 and 6438
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6433 and 6438 the smallest integer that is 41415654 that is divisible by both numbers.
Least Common Multiple (LCM) of 6433 and 6438 is 41415654.
LCM(6433,6438) = 41415654
LCM of 6433 and 6438
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6433 and 6438 by Prime method
- Least Common Multiple of 6433 and 6438 with GCF Formula
LCM of 6433 and 6438 is 41415654
Least common multiple can be found by multiplying the highest exponent prime factors of 6433 and 6438. First we will calculate the prime factors of 6433 and 6438.
Prime Factorization of 6433
| 7 | 6433 |
| 919 | 919 |
| 1 |
Prime factors of 6433 are 7,919. Prime factorization of 6433 in exponential form is:
6433 = 71×9191
Prime Factorization of 6438
| 2 | 6438 |
| 3 | 3219 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 6438 are 2, 3, 29,37. Prime factorization of 6438 in exponential form is:
6438 = 21×31×291×371
Now multiplying the highest exponent prime factors to calculate the LCM of 6433 and 6438.
LCM(6433,6438) = 21×31×71×291×371×9191
LCM(6433,6438) = 41415654
Factors of 6433
List of positive integer factors of 6433 that divides 6433 without a remainder.
1, 7, 919, 6433
Factors of 6438
List of positive integer factors of 6438 that divides 6438 without a remainder.
1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438
Least Common Multiple of 6433 and 6438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6433 and 6438, than apply into the LCM equation.
GCF(6433,6438) = 1
LCM(6433,6438) = ( 6433 × 6438) / 1
LCM(6433,6438) = 41415654 / 1
LCM(6433,6438) = 41415654
Properties of LCM 6433 and 6438
(i) The LCM of 6438 and 6433 is associative
LCM of 6433 and 6438 = LCM of 6438 and 6433
Related Least Common Multiples of 6433
Related Least Common Multiples of 6438
Frequently Asked Questions on LCM of 6433 and 6438
1. What is the LCM of 6433 and 6438?
Answer: LCM of 6433 and 6438 is 41415654.
2. What are the Factors of 6433?
Answer: Factors of 6433 are 1, 7, 919, 6433. There are 4 integers that are factors of 6433. The greatest factor of 6433 is 6433.
3. What are the Factors of 6438?
Answer: Factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438. There are 16 integers that are factors of 6438. The greatest factor of 6438 is 6438.
4. How to Find the LCM of 6433 and 6438?
Answer:
Least Common Multiple of 6433 and 6438 = 41415654
Step 1: Find the prime factorization of 6433
6433 = 7 x 919
Step 2: Find the prime factorization of 6438
6438 = 2 x 3 x 29 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41415654 = 2 x 3 x 7 x 29 x 37 x 919
Step 4: Therefore, the least common multiple of 6433 and 6438 is 41415654.