Least Common Multiple of 6426 and 6433
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6426 and 6433 the smallest integer that is 5905494 that is divisible by both numbers.
Least Common Multiple (LCM) of 6426 and 6433 is 5905494.
LCM(6426,6433) = 5905494
LCM of 6426 and 6433
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6426 and 6433 by Prime method
- Least Common Multiple of 6426 and 6433 with GCF Formula
LCM of 6426 and 6433 is 5905494
Least common multiple can be found by multiplying the highest exponent prime factors of 6426 and 6433. First we will calculate the prime factors of 6426 and 6433.
Prime Factorization of 6426
| 2 | 6426 |
| 3 | 3213 |
| 3 | 1071 |
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 6426 are 2, 3, 7,17. Prime factorization of 6426 in exponential form is:
6426 = 21×33×71×171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6426 and 6433.
LCM(6426,6433) = 21×33×71×171×9191
LCM(6426,6433) = 5905494
Factors of 6426
List of positive integer factors of 6426 that divides 6426 without a remainder.
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
Factors of 6433
List of positive integer factors of 6433 that divides 6433 without a remainder.
1, 7, 919, 6433
Least Common Multiple of 6426 and 6433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6426 and 6433, than apply into the LCM equation.
GCF(6426,6433) = 7
LCM(6426,6433) = ( 6426 × 6433) / 7
LCM(6426,6433) = 41338458 / 7
LCM(6426,6433) = 5905494
Properties of LCM 6426 and 6433
(i) The LCM of 6433 and 6426 is associative
LCM of 6426 and 6433 = LCM of 6433 and 6426
Related Least Common Multiples of 6426
Related Least Common Multiples of 6433
Frequently Asked Questions on LCM of 6426 and 6433
1. What is the LCM of 6426 and 6433?
Answer: LCM of 6426 and 6433 is 5905494.
2. What are the Factors of 6426?
Answer: Factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426. There are 32 integers that are factors of 6426. The greatest factor of 6426 is 6426.
3. 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.
4. How to Find the LCM of 6426 and 6433?
Answer:
Least Common Multiple of 6426 and 6433 = 5905494
Step 1: Find the prime factorization of 6426
6426 = 2 x 3 x 3 x 3 x 7 x 17
Step 2: Find the prime factorization of 6433
6433 = 7 x 919
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5905494 = 2 x 3 x 3 x 3 x 7 x 17 x 919
Step 4: Therefore, the least common multiple of 6426 and 6433 is 5905494.