Least Common Multiple of 10431 and 10438
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10431 and 10438 the smallest integer that is 108878778 that is divisible by both numbers.
Least Common Multiple (LCM) of 10431 and 10438 is 108878778.
LCM(10431,10438) = 108878778
LCM of 10431 and 10438
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10431 and 10438 by Prime method
- Least Common Multiple of 10431 and 10438 with GCF Formula
LCM of 10431 and 10438 is 108878778
Least common multiple can be found by multiplying the highest exponent prime factors of 10431 and 10438. First we will calculate the prime factors of 10431 and 10438.
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
Prime Factorization of 10438
| 2 | 10438 |
| 17 | 5219 |
| 307 | 307 |
| 1 |
Prime factors of 10438 are 2, 17,307. Prime factorization of 10438 in exponential form is:
10438 = 21×171×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 10431 and 10438.
LCM(10431,10438) = 21×32×171×191×611×3071
LCM(10431,10438) = 108878778
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
Factors of 10438
List of positive integer factors of 10438 that divides 10438 without a remainder.
1, 2, 17, 34, 307, 614, 5219, 10438
Least Common Multiple of 10431 and 10438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10431 and 10438, than apply into the LCM equation.
GCF(10431,10438) = 1
LCM(10431,10438) = ( 10431 × 10438) / 1
LCM(10431,10438) = 108878778 / 1
LCM(10431,10438) = 108878778
Properties of LCM 10431 and 10438
(i) The LCM of 10438 and 10431 is associative
LCM of 10431 and 10438 = LCM of 10438 and 10431
Related Least Common Multiples of 10431
Related Least Common Multiples of 10438
Frequently Asked Questions on LCM of 10431 and 10438
1. What is the LCM of 10431 and 10438?
Answer: LCM of 10431 and 10438 is 108878778.
2. 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.
3. What are the Factors of 10438?
Answer: Factors of 10438 are 1, 2, 17, 34, 307, 614, 5219, 10438. There are 8 integers that are factors of 10438. The greatest factor of 10438 is 10438.
4. How to Find the LCM of 10431 and 10438?
Answer:
Least Common Multiple of 10431 and 10438 = 108878778
Step 1: Find the prime factorization of 10431
10431 = 3 x 3 x 19 x 61
Step 2: Find the prime factorization of 10438
10438 = 2 x 17 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108878778 = 2 x 3 x 3 x 17 x 19 x 61 x 307
Step 4: Therefore, the least common multiple of 10431 and 10438 is 108878778.