Least Common Multiple of 2423 and 2431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2423 and 2431 the smallest integer that is 5890313 that is divisible by both numbers.
Least Common Multiple (LCM) of 2423 and 2431 is 5890313.
LCM(2423,2431) = 5890313
LCM of 2423 and 2431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2423 and 2431 by Prime method
- Least Common Multiple of 2423 and 2431 with GCF Formula
LCM of 2423 and 2431 is 5890313
Least common multiple can be found by multiplying the highest exponent prime factors of 2423 and 2431. First we will calculate the prime factors of 2423 and 2431.
Prime Factorization of 2423
| 2423 | 2423 |
| 1 |
Prime factors of 2423 are 2423. Prime factorization of 2423 in exponential form is:
2423 = 24231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2423 and 2431.
LCM(2423,2431) = 111×131×171×24231
LCM(2423,2431) = 5890313
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1, 2423
Factors of 2431
List of positive integer factors of 2431 that divides 2431 without a remainder.
1, 11, 13, 17, 143, 187, 221, 2431
Least Common Multiple of 2423 and 2431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2423 and 2431, than apply into the LCM equation.
GCF(2423,2431) = 1
LCM(2423,2431) = ( 2423 × 2431) / 1
LCM(2423,2431) = 5890313 / 1
LCM(2423,2431) = 5890313
Properties of LCM 2423 and 2431
(i) The LCM of 2431 and 2423 is associative
LCM of 2423 and 2431 = LCM of 2431 and 2423
Related Least Common Multiples of 2423
Related Least Common Multiples of 2431
Frequently Asked Questions on LCM of 2423 and 2431
1. What is the LCM of 2423 and 2431?
Answer: LCM of 2423 and 2431 is 5890313.
2. What are the Factors of 2423?
Answer: Factors of 2423 are 1, 2423. There are 2 integers that are factors of 2423. The greatest factor of 2423 is 2423.
3. 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.
4. How to Find the LCM of 2423 and 2431?
Answer:
Least Common Multiple of 2423 and 2431 = 5890313
Step 1: Find the prime factorization of 2423
2423 = 2423
Step 2: Find the prime factorization of 2431
2431 = 11 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5890313 = 11 x 13 x 17 x 2423
Step 4: Therefore, the least common multiple of 2423 and 2431 is 5890313.