Least Common Multiple of 2434 and 2441

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

LCM of 2434 and 2441

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2434 and 2441

LCM of 2434 and 2441 is 5941394

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

Least Common Multiple of 2434 and 2441 with GCF Formula

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

Properties of LCM 2434 and 2441

(i) The LCM of 2441 and 2434 is associative

LCM of 2434 and 2441 = LCM of 2441 and 2434

Frequently Asked Questions on LCM of 2434 and 2441

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.