Least Common Multiple of 10426 and 10431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10426 and 10431 the smallest integer that is 108753606 that is divisible by both numbers.
Least Common Multiple (LCM) of 10426 and 10431 is 108753606.
LCM(10426,10431) = 108753606
LCM of 10426 and 10431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10426 and 10431 by Prime method
- Least Common Multiple of 10426 and 10431 with GCF Formula
LCM of 10426 and 10431 is 108753606
Least common multiple can be found by multiplying the highest exponent prime factors of 10426 and 10431. First we will calculate the prime factors of 10426 and 10431.
Prime Factorization of 10426
| 2 | 10426 |
| 13 | 5213 |
| 401 | 401 |
| 1 |
Prime factors of 10426 are 2, 13,401. Prime factorization of 10426 in exponential form is:
10426 = 21×131×4011
Prime Factorization of 10431
| 3 | 10431 |
| 3 | 3477 |
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 10431 are 3, 19,61. Prime factorization of 10431 in exponential form is:
10431 = 32×191×611
Now multiplying the highest exponent prime factors to calculate the LCM of 10426 and 10431.
LCM(10426,10431) = 21×32×131×191×611×4011
LCM(10426,10431) = 108753606
Factors of 10426
List of positive integer factors of 10426 that divides 10426 without a remainder.
1, 2, 13, 26, 401, 802, 5213, 10426
Factors of 10431
List of positive integer factors of 10431 that divides 10431 without a remainder.
1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431
Least Common Multiple of 10426 and 10431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10426 and 10431, than apply into the LCM equation.
GCF(10426,10431) = 1
LCM(10426,10431) = ( 10426 × 10431) / 1
LCM(10426,10431) = 108753606 / 1
LCM(10426,10431) = 108753606
Properties of LCM 10426 and 10431
(i) The LCM of 10431 and 10426 is associative
LCM of 10426 and 10431 = LCM of 10431 and 10426
Related Least Common Multiples of 10426
Related Least Common Multiples of 10431
Frequently Asked Questions on LCM of 10426 and 10431
1. What is the LCM of 10426 and 10431?
Answer: LCM of 10426 and 10431 is 108753606.
2. What are the Factors of 10426?
Answer: Factors of 10426 are 1, 2, 13, 26, 401, 802, 5213, 10426. There are 8 integers that are factors of 10426. The greatest factor of 10426 is 10426.
3. What are the Factors of 10431?
Answer: Factors of 10431 are 1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431. There are 12 integers that are factors of 10431. The greatest factor of 10431 is 10431.
4. How to Find the LCM of 10426 and 10431?
Answer:
Least Common Multiple of 10426 and 10431 = 108753606
Step 1: Find the prime factorization of 10426
10426 = 2 x 13 x 401
Step 2: Find the prime factorization of 10431
10431 = 3 x 3 x 19 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108753606 = 2 x 3 x 3 x 13 x 19 x 61 x 401
Step 4: Therefore, the least common multiple of 10426 and 10431 is 108753606.