Least Common Multiple of 2343 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 2343 and 2349 the smallest integer that is 1834569 that is divisible by both numbers.

Least Common Multiple (LCM) of 2343 and 2349 is 1834569.

LCM(2343,2349) = 1834569

LCM of 2343 and 2349

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

LCM of:
and

Least Common Multiple of 2343 and 2349

LCM of 2343 and 2349 is 1834569

Least common multiple can be found by multiplying the highest exponent prime factors of 2343 and 2349. First we will calculate the prime factors of 2343 and 2349.

Prime Factorization of 2343


3 2343
11 781
71 71
1

Prime factors of 2343 are 3, 11,71. Prime factorization of 2343 in exponential form is:

2343 = 31×111×711

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 2343 and 2349.

LCM(2343,2349) = 34×111×291×711
LCM(2343,2349) = 1834569

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1, 3, 11, 33, 71, 213, 781, 2343

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 2343 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 2343 and 2349, than apply into the LCM equation.

GCF(2343,2349) = 3
LCM(2343,2349) = ( 2343 × 2349) / 3
LCM(2343,2349) = 5503707 / 3
LCM(2343,2349) = 1834569

Properties of LCM 2343 and 2349

(i) The LCM of 2349 and 2343 is associative

LCM of 2343 and 2349 = LCM of 2349 and 2343

Related Least Common Multiples of 2343

Related Least Common Multiples of 2349

Frequently Asked Questions on LCM of 2343 and 2349

1. What is the LCM of 2343 and 2349?

Answer: LCM of 2343 and 2349 is 1834569.

2. What are the Factors of 2343?

Answer: Factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343. There are 8 integers that are factors of 2343. The greatest factor of 2343 is 2343.

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 2343 and 2349?

Answer:

Least Common Multiple of 2343 and 2349 = 1834569

Step 1: Find the prime factorization of 2343

2343 = 3 x 11 x 71

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 = 1834569 = 3 x 3 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 2343 and 2349 is 1834569.