Least Common Multiple of 2348 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 2348 and 2349 the smallest integer that is 5515452 that is divisible by both numbers.

Least Common Multiple (LCM) of 2348 and 2349 is 5515452.

LCM(2348,2349) = 5515452

LCM of 2348 and 2349

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

LCM of:
and

Least Common Multiple of 2348 and 2349

LCM of 2348 and 2349 is 5515452

Least common multiple can be found by multiplying the highest exponent prime factors of 2348 and 2349. First we will calculate the prime factors of 2348 and 2349.

Prime Factorization of 2348


2 2348
2 1174
587 587
1

Prime factors of 2348 are 2,587. Prime factorization of 2348 in exponential form is:

2348 = 22×5871

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 2348 and 2349.

LCM(2348,2349) = 22×34×291×5871
LCM(2348,2349) = 5515452

Factors of 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1, 2, 4, 587, 1174, 2348

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 2348 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 2348 and 2349, than apply into the LCM equation.

GCF(2348,2349) = 1
LCM(2348,2349) = ( 2348 × 2349) / 1
LCM(2348,2349) = 5515452 / 1
LCM(2348,2349) = 5515452

Properties of LCM 2348 and 2349

(i) The LCM of 2349 and 2348 is associative

LCM of 2348 and 2349 = LCM of 2349 and 2348

Related Least Common Multiples of 2348

Related Least Common Multiples of 2349

Frequently Asked Questions on LCM of 2348 and 2349

1. What is the LCM of 2348 and 2349?

Answer: LCM of 2348 and 2349 is 5515452.

2. What are the Factors of 2348?

Answer: Factors of 2348 are 1, 2, 4, 587, 1174, 2348. There are 6 integers that are factors of 2348. The greatest factor of 2348 is 2348.

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 2348 and 2349?

Answer:

Least Common Multiple of 2348 and 2349 = 5515452

Step 1: Find the prime factorization of 2348

2348 = 2 x 2 x 587

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 = 5515452 = 2 x 2 x 3 x 3 x 3 x 3 x 29 x 587

Step 4: Therefore, the least common multiple of 2348 and 2349 is 5515452.