Least Common Multiple of 10425 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 10425 and 10431 the smallest integer that is 36247725 that is divisible by both numbers.
Least Common Multiple (LCM) of 10425 and 10431 is 36247725.
LCM(10425,10431) = 36247725
LCM of 10425 and 10431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10425 and 10431 by Prime method
- Least Common Multiple of 10425 and 10431 with GCF Formula
LCM of 10425 and 10431 is 36247725
Least common multiple can be found by multiplying the highest exponent prime factors of 10425 and 10431. First we will calculate the prime factors of 10425 and 10431.
Prime Factorization of 10425
| 3 | 10425 |
| 5 | 3475 |
| 5 | 695 |
| 139 | 139 |
| 1 |
Prime factors of 10425 are 3, 5,139. Prime factorization of 10425 in exponential form is:
10425 = 31×52×1391
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 10425 and 10431.
LCM(10425,10431) = 32×52×191×611×1391
LCM(10425,10431) = 36247725
Factors of 10425
List of positive integer factors of 10425 that divides 10425 without a remainder.
1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475, 10425
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 10425 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 10425 and 10431, than apply into the LCM equation.
GCF(10425,10431) = 3
LCM(10425,10431) = ( 10425 × 10431) / 3
LCM(10425,10431) = 108743175 / 3
LCM(10425,10431) = 36247725
Properties of LCM 10425 and 10431
(i) The LCM of 10431 and 10425 is associative
LCM of 10425 and 10431 = LCM of 10431 and 10425
Related Least Common Multiples of 10425
Related Least Common Multiples of 10431
Frequently Asked Questions on LCM of 10425 and 10431
1. What is the LCM of 10425 and 10431?
Answer: LCM of 10425 and 10431 is 36247725.
2. What are the Factors of 10425?
Answer: Factors of 10425 are 1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475, 10425. There are 12 integers that are factors of 10425. The greatest factor of 10425 is 10425.
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 10425 and 10431?
Answer:
Least Common Multiple of 10425 and 10431 = 36247725
Step 1: Find the prime factorization of 10425
10425 = 3 x 5 x 5 x 139
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 = 36247725 = 3 x 3 x 5 x 5 x 19 x 61 x 139
Step 4: Therefore, the least common multiple of 10425 and 10431 is 36247725.