Least Common Multiple of 2344 and 2349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2344 and 2349 the smallest integer that is 5506056 that is divisible by both numbers.

Least Common Multiple (LCM) of 2344 and 2349 is 5506056.

LCM(2344,2349) = 5506056

LCM of 2344 and 2349

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

LCM of:
and

Least Common Multiple of 2344 and 2349

LCM of 2344 and 2349 is 5506056

Least common multiple can be found by multiplying the highest exponent prime factors of 2344 and 2349. First we will calculate the prime factors of 2344 and 2349.

Prime Factorization of 2344


2 2344
2 1172
2 586
293 293
1

Prime factors of 2344 are 2,293. Prime factorization of 2344 in exponential form is:

2344 = 23×2931

Prime Factorization of 2349


3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 2349 are 3,29. Prime factorization of 2349 in exponential form is:

2349 = 34×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2344 and 2349.

LCM(2344,2349) = 23×34×291×2931
LCM(2344,2349) = 5506056

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1, 2, 4, 8, 293, 586, 1172, 2344

Factors of 2349

List of positive integer factors of 2349 that divides 2349 without a remainder.

1, 3, 9, 27, 29, 81, 87, 261, 783, 2349

Least Common Multiple of 2344 and 2349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2344 and 2349, than apply into the LCM equation.

GCF(2344,2349) = 1
LCM(2344,2349) = ( 2344 × 2349) / 1
LCM(2344,2349) = 5506056 / 1
LCM(2344,2349) = 5506056

Properties of LCM 2344 and 2349

(i) The LCM of 2349 and 2344 is associative

LCM of 2344 and 2349 = LCM of 2349 and 2344

Related Least Common Multiples of 2344

Related Least Common Multiples of 2349

Frequently Asked Questions on LCM of 2344 and 2349

1. What is the LCM of 2344 and 2349?

Answer: LCM of 2344 and 2349 is 5506056.

2. What are the Factors of 2344?

Answer: Factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344. There are 8 integers that are factors of 2344. The greatest factor of 2344 is 2344.

3. What are the Factors of 2349?

Answer: Factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349. There are 10 integers that are factors of 2349. The greatest factor of 2349 is 2349.

4. How to Find the LCM of 2344 and 2349?

Answer:

Least Common Multiple of 2344 and 2349 = 5506056

Step 1: Find the prime factorization of 2344

2344 = 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 2349

2349 = 3 x 3 x 3 x 3 x 29

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

LCM = 5506056 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 29 x 293

Step 4: Therefore, the least common multiple of 2344 and 2349 is 5506056.