Least Common Multiple of 2431 and 2435
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2431 and 2435 the smallest integer that is 5919485 that is divisible by both numbers.
Least Common Multiple (LCM) of 2431 and 2435 is 5919485.
LCM(2431,2435) = 5919485
LCM of 2431 and 2435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2431 and 2435 by Prime method
- Least Common Multiple of 2431 and 2435 with GCF Formula
LCM of 2431 and 2435 is 5919485
Least common multiple can be found by multiplying the highest exponent prime factors of 2431 and 2435. First we will calculate the prime factors of 2431 and 2435.
Prime Factorization of 2431
| 11 | 2431 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 2431 are 11, 13,17. Prime factorization of 2431 in exponential form is:
2431 = 111×131×171
Prime Factorization of 2435
| 5 | 2435 |
| 487 | 487 |
| 1 |
Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:
2435 = 51×4871
Now multiplying the highest exponent prime factors to calculate the LCM of 2431 and 2435.
LCM(2431,2435) = 51×111×131×171×4871
LCM(2431,2435) = 5919485
Factors of 2431
List of positive integer factors of 2431 that divides 2431 without a remainder.
1, 11, 13, 17, 143, 187, 221, 2431
Factors of 2435
List of positive integer factors of 2435 that divides 2435 without a remainder.
1, 5, 487, 2435
Least Common Multiple of 2431 and 2435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2431 and 2435, than apply into the LCM equation.
GCF(2431,2435) = 1
LCM(2431,2435) = ( 2431 × 2435) / 1
LCM(2431,2435) = 5919485 / 1
LCM(2431,2435) = 5919485
Properties of LCM 2431 and 2435
(i) The LCM of 2435 and 2431 is associative
LCM of 2431 and 2435 = LCM of 2435 and 2431
Related Least Common Multiples of 2431
Related Least Common Multiples of 2435
Frequently Asked Questions on LCM of 2431 and 2435
1. What is the LCM of 2431 and 2435?
Answer: LCM of 2431 and 2435 is 5919485.
2. What are the Factors of 2431?
Answer: Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431. There are 8 integers that are factors of 2431. The greatest factor of 2431 is 2431.
3. What are the Factors of 2435?
Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.
4. How to Find the LCM of 2431 and 2435?
Answer:
Least Common Multiple of 2431 and 2435 = 5919485
Step 1: Find the prime factorization of 2431
2431 = 11 x 13 x 17
Step 2: Find the prime factorization of 2435
2435 = 5 x 487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5919485 = 5 x 11 x 13 x 17 x 487
Step 4: Therefore, the least common multiple of 2431 and 2435 is 5919485.