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 2434 the smallest integer that is 5917054 that is divisible by both numbers.
Least Common Multiple (LCM) of 2431 and 2434 is 5917054.
LCM(2431,2434) = 5917054
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2431 and 2434. First we will calculate the prime factors of 2431 and 2434.
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 2434
2 | 2434 |
1217 | 1217 |
1 |
Prime factors of 2434 are 2,1217. Prime factorization of 2434 in exponential form is:
2434 = 21×12171
Now multiplying the highest exponent prime factors to calculate the LCM of 2431 and 2434.
LCM(2431,2434) = 21×111×131×171×12171
LCM(2431,2434) = 5917054
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 2434
List of positive integer factors of 2434 that divides 2434 without a remainder.
1, 2, 1217, 2434
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2431 and 2434, than apply into the LCM equation.
GCF(2431,2434) = 1
LCM(2431,2434) = ( 2431 × 2434) / 1
LCM(2431,2434) = 5917054 / 1
LCM(2431,2434) = 5917054
(i) The LCM of 2434 and 2431 is associative
LCM of 2431 and 2434 = LCM of 2434 and 2431
1. What is the LCM of 2431 and 2434?
Answer: LCM of 2431 and 2434 is 5917054.
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 2434?
Answer: Factors of 2434 are 1, 2, 1217, 2434. There are 4 integers that are factors of 2434. The greatest factor of 2434 is 2434.
4. How to Find the LCM of 2431 and 2434?
Answer:
Least Common Multiple of 2431 and 2434 = 5917054
Step 1: Find the prime factorization of 2431
2431 = 11 x 13 x 17
Step 2: Find the prime factorization of 2434
2434 = 2 x 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5917054 = 2 x 11 x 13 x 17 x 1217
Step 4: Therefore, the least common multiple of 2431 and 2434 is 5917054.