Least Common Multiple of 6426 and 6431
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 6431 the smallest integer that is 41325606 that is divisible by both numbers.
Least Common Multiple (LCM) of 6426 and 6431 is 41325606.
LCM(6426,6431) = 41325606
LCM of 6426 and 6431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6426 and 6431 by Prime method
- Least Common Multiple of 6426 and 6431 with GCF Formula
LCM of 6426 and 6431 is 41325606
Least common multiple can be found by multiplying the highest exponent prime factors of 6426 and 6431. First we will calculate the prime factors of 6426 and 6431.
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 6431
| 59 | 6431 |
| 109 | 109 |
| 1 |
Prime factors of 6431 are 59,109. Prime factorization of 6431 in exponential form is:
6431 = 591×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 6426 and 6431.
LCM(6426,6431) = 21×33×71×171×591×1091
LCM(6426,6431) = 41325606
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 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1, 59, 109, 6431
Least Common Multiple of 6426 and 6431 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 6431, than apply into the LCM equation.
GCF(6426,6431) = 1
LCM(6426,6431) = ( 6426 × 6431) / 1
LCM(6426,6431) = 41325606 / 1
LCM(6426,6431) = 41325606
Properties of LCM 6426 and 6431
(i) The LCM of 6431 and 6426 is associative
LCM of 6426 and 6431 = LCM of 6431 and 6426
Related Least Common Multiples of 6426
Related Least Common Multiples of 6431
Frequently Asked Questions on LCM of 6426 and 6431
1. What is the LCM of 6426 and 6431?
Answer: LCM of 6426 and 6431 is 41325606.
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 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.
4. How to Find the LCM of 6426 and 6431?
Answer:
Least Common Multiple of 6426 and 6431 = 41325606
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 6431
6431 = 59 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41325606 = 2 x 3 x 3 x 3 x 7 x 17 x 59 x 109
Step 4: Therefore, the least common multiple of 6426 and 6431 is 41325606.