Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2434 and 2441 the smallest integer that is 5941394 that is divisible by both numbers.
Least Common Multiple (LCM) of 2434 and 2441 is 5941394.
LCM(2434,2441) = 5941394
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 2434 and 2441. First we will calculate the prime factors of 2434 and 2441.
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
Prime Factorization of 2441
2441 | 2441 |
1 |
Prime factors of 2441 are 2441. Prime factorization of 2441 in exponential form is:
2441 = 24411
Now multiplying the highest exponent prime factors to calculate the LCM of 2434 and 2441.
LCM(2434,2441) = 21×12171×24411
LCM(2434,2441) = 5941394
Factors of 2434
List of positive integer factors of 2434 that divides 2434 without a remainder.
1, 2, 1217, 2434
Factors of 2441
List of positive integer factors of 2441 that divides 2441 without a remainder.
1, 2441
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2434 and 2441, than apply into the LCM equation.
GCF(2434,2441) = 1
LCM(2434,2441) = ( 2434 × 2441) / 1
LCM(2434,2441) = 5941394 / 1
LCM(2434,2441) = 5941394
(i) The LCM of 2441 and 2434 is associative
LCM of 2434 and 2441 = LCM of 2441 and 2434
1. What is the LCM of 2434 and 2441?
Answer: LCM of 2434 and 2441 is 5941394.
2. 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.
3. What are the Factors of 2441?
Answer: Factors of 2441 are 1, 2441. There are 2 integers that are factors of 2441. The greatest factor of 2441 is 2441.
4. How to Find the LCM of 2434 and 2441?
Answer:
Least Common Multiple of 2434 and 2441 = 5941394
Step 1: Find the prime factorization of 2434
2434 = 2 x 1217
Step 2: Find the prime factorization of 2441
2441 = 2441
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5941394 = 2 x 1217 x 2441
Step 4: Therefore, the least common multiple of 2434 and 2441 is 5941394.