Least Common Multiple of 315425 and 315431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 315425 and 315431 the smallest integer that is 99494823175 that is divisible by both numbers.
Least Common Multiple (LCM) of 315425 and 315431 is 99494823175.
LCM(315425,315431) = 99494823175
LCM of 315425 and 315431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 315425 and 315431 by Prime method
- Least Common Multiple of 315425 and 315431 with GCF Formula
LCM of 315425 and 315431 is 99494823175
Least common multiple can be found by multiplying the highest exponent prime factors of 315425 and 315431. First we will calculate the prime factors of 315425 and 315431.
Prime Factorization of 315425
| 5 | 315425 |
| 5 | 63085 |
| 11 | 12617 |
| 31 | 1147 |
| 37 | 37 |
| 1 |
Prime factors of 315425 are 5, 11, 31,37. Prime factorization of 315425 in exponential form is:
315425 = 52×111×311×371
Prime Factorization of 315431
| 61 | 315431 |
| 5171 | 5171 |
| 1 |
Prime factors of 315431 are 61,5171. Prime factorization of 315431 in exponential form is:
315431 = 611×51711
Now multiplying the highest exponent prime factors to calculate the LCM of 315425 and 315431.
LCM(315425,315431) = 52×111×311×371×611×51711
LCM(315425,315431) = 99494823175
Factors of 315425
List of positive integer factors of 315425 that divides 315425 without a remainder.
1, 5, 11, 25, 31, 37, 55, 155, 185, 275, 341, 407, 775, 925, 1147, 1705, 2035, 5735, 8525, 10175, 12617, 28675, 63085, 315425
Factors of 315431
List of positive integer factors of 315431 that divides 315431 without a remainder.
1, 61, 5171, 315431
Least Common Multiple of 315425 and 315431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315425 and 315431, than apply into the LCM equation.
GCF(315425,315431) = 1
LCM(315425,315431) = ( 315425 × 315431) / 1
LCM(315425,315431) = 99494823175 / 1
LCM(315425,315431) = 99494823175
Properties of LCM 315425 and 315431
(i) The LCM of 315431 and 315425 is associative
LCM of 315425 and 315431 = LCM of 315431 and 315425
Related Least Common Multiples of 315425
Related Least Common Multiples of 315431
Frequently Asked Questions on LCM of 315425 and 315431
1. What is the LCM of 315425 and 315431?
Answer: LCM of 315425 and 315431 is 99494823175.
2. What are the Factors of 315425?
Answer: Factors of 315425 are 1, 5, 11, 25, 31, 37, 55, 155, 185, 275, 341, 407, 775, 925, 1147, 1705, 2035, 5735, 8525, 10175, 12617, 28675, 63085, 315425. There are 24 integers that are factors of 315425. The greatest factor of 315425 is 315425.
3. What are the Factors of 315431?
Answer: Factors of 315431 are 1, 61, 5171, 315431. There are 4 integers that are factors of 315431. The greatest factor of 315431 is 315431.
4. How to Find the LCM of 315425 and 315431?
Answer:
Least Common Multiple of 315425 and 315431 = 99494823175
Step 1: Find the prime factorization of 315425
315425 = 5 x 5 x 11 x 31 x 37
Step 2: Find the prime factorization of 315431
315431 = 61 x 5171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99494823175 = 5 x 5 x 11 x 31 x 37 x 61 x 5171
Step 4: Therefore, the least common multiple of 315425 and 315431 is 99494823175.