Least Common Multiple of 12425 and 12431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12425 and 12431 the smallest integer that is 154455175 that is divisible by both numbers.
Least Common Multiple (LCM) of 12425 and 12431 is 154455175.
LCM(12425,12431) = 154455175
LCM of 12425 and 12431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12425 and 12431 by Prime method
- Least Common Multiple of 12425 and 12431 with GCF Formula
LCM of 12425 and 12431 is 154455175
Least common multiple can be found by multiplying the highest exponent prime factors of 12425 and 12431. First we will calculate the prime factors of 12425 and 12431.
Prime Factorization of 12425
| 5 | 12425 |
| 5 | 2485 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 12425 are 5, 7,71. Prime factorization of 12425 in exponential form is:
12425 = 52×71×711
Prime Factorization of 12431
| 31 | 12431 |
| 401 | 401 |
| 1 |
Prime factors of 12431 are 31,401. Prime factorization of 12431 in exponential form is:
12431 = 311×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 12425 and 12431.
LCM(12425,12431) = 52×71×311×711×4011
LCM(12425,12431) = 154455175
Factors of 12425
List of positive integer factors of 12425 that divides 12425 without a remainder.
1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425
Factors of 12431
List of positive integer factors of 12431 that divides 12431 without a remainder.
1, 31, 401, 12431
Least Common Multiple of 12425 and 12431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12425 and 12431, than apply into the LCM equation.
GCF(12425,12431) = 1
LCM(12425,12431) = ( 12425 × 12431) / 1
LCM(12425,12431) = 154455175 / 1
LCM(12425,12431) = 154455175
Properties of LCM 12425 and 12431
(i) The LCM of 12431 and 12425 is associative
LCM of 12425 and 12431 = LCM of 12431 and 12425
Related Least Common Multiples of 12425
Related Least Common Multiples of 12431
Frequently Asked Questions on LCM of 12425 and 12431
1. What is the LCM of 12425 and 12431?
Answer: LCM of 12425 and 12431 is 154455175.
2. What are the Factors of 12425?
Answer: Factors of 12425 are 1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425. There are 12 integers that are factors of 12425. The greatest factor of 12425 is 12425.
3. What are the Factors of 12431?
Answer: Factors of 12431 are 1, 31, 401, 12431. There are 4 integers that are factors of 12431. The greatest factor of 12431 is 12431.
4. How to Find the LCM of 12425 and 12431?
Answer:
Least Common Multiple of 12425 and 12431 = 154455175
Step 1: Find the prime factorization of 12425
12425 = 5 x 5 x 7 x 71
Step 2: Find the prime factorization of 12431
12431 = 31 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154455175 = 5 x 5 x 7 x 31 x 71 x 401
Step 4: Therefore, the least common multiple of 12425 and 12431 is 154455175.