Least Common Multiple of 2441 and 2449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2441 and 2449 the smallest integer that is 5978009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2441 and 2449 is 5978009.

LCM(2441,2449) = 5978009

LCM of 2441 and 2449

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

LCM of:
and

Least Common Multiple of 2441 and 2449

LCM of 2441 and 2449 is 5978009

Least common multiple can be found by multiplying the highest exponent prime factors of 2441 and 2449. First we will calculate the prime factors of 2441 and 2449.

Prime Factorization of 2441


2441 2441
1

Prime factors of 2441 are 2441. Prime factorization of 2441 in exponential form is:

2441 = 24411

Prime Factorization of 2449


31 2449
79 79
1

Prime factors of 2449 are 31,79. Prime factorization of 2449 in exponential form is:

2449 = 311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2441 and 2449.

LCM(2441,2449) = 311×791×24411
LCM(2441,2449) = 5978009

Factors of 2441

List of positive integer factors of 2441 that divides 2441 without a remainder.

1, 2441

Factors of 2449

List of positive integer factors of 2449 that divides 2449 without a remainder.

1, 31, 79, 2449

Least Common Multiple of 2441 and 2449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2441 and 2449, than apply into the LCM equation.

GCF(2441,2449) = 1
LCM(2441,2449) = ( 2441 × 2449) / 1
LCM(2441,2449) = 5978009 / 1
LCM(2441,2449) = 5978009

Properties of LCM 2441 and 2449

(i) The LCM of 2449 and 2441 is associative

LCM of 2441 and 2449 = LCM of 2449 and 2441

Related Least Common Multiples of 2441

Related Least Common Multiples of 2449

Frequently Asked Questions on LCM of 2441 and 2449

1. What is the LCM of 2441 and 2449?

Answer: LCM of 2441 and 2449 is 5978009.

2. 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.

3. What are the Factors of 2449?

Answer: Factors of 2449 are 1, 31, 79, 2449. There are 4 integers that are factors of 2449. The greatest factor of 2449 is 2449.

4. How to Find the LCM of 2441 and 2449?

Answer:

Least Common Multiple of 2441 and 2449 = 5978009

Step 1: Find the prime factorization of 2441

2441 = 2441

Step 2: Find the prime factorization of 2449

2449 = 31 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5978009 = 31 x 79 x 2441

Step 4: Therefore, the least common multiple of 2441 and 2449 is 5978009.