Least Common Multiple of 2349 and 2357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2349 and 2357 the smallest integer that is 5536593 that is divisible by both numbers.

Least Common Multiple (LCM) of 2349 and 2357 is 5536593.

LCM(2349,2357) = 5536593

LCM of 2349 and 2357

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

LCM of:
and

Least Common Multiple of 2349 and 2357

LCM of 2349 and 2357 is 5536593

Least common multiple can be found by multiplying the highest exponent prime factors of 2349 and 2357. First we will calculate the prime factors of 2349 and 2357.

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

Prime Factorization of 2357


2357 2357
1

Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:

2357 = 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 2349 and 2357.

LCM(2349,2357) = 34×291×23571
LCM(2349,2357) = 5536593

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

Factors of 2357

List of positive integer factors of 2357 that divides 2357 without a remainder.

1, 2357

Least Common Multiple of 2349 and 2357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2349 and 2357, than apply into the LCM equation.

GCF(2349,2357) = 1
LCM(2349,2357) = ( 2349 × 2357) / 1
LCM(2349,2357) = 5536593 / 1
LCM(2349,2357) = 5536593

Properties of LCM 2349 and 2357

(i) The LCM of 2357 and 2349 is associative

LCM of 2349 and 2357 = LCM of 2357 and 2349

Related Least Common Multiples of 2349

Related Least Common Multiples of 2357

Frequently Asked Questions on LCM of 2349 and 2357

1. What is the LCM of 2349 and 2357?

Answer: LCM of 2349 and 2357 is 5536593.

2. 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.

3. What are the Factors of 2357?

Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.

4. How to Find the LCM of 2349 and 2357?

Answer:

Least Common Multiple of 2349 and 2357 = 5536593

Step 1: Find the prime factorization of 2349

2349 = 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 2357

2357 = 2357

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

LCM = 5536593 = 3 x 3 x 3 x 3 x 29 x 2357

Step 4: Therefore, the least common multiple of 2349 and 2357 is 5536593.