Least Common Multiple of 2341 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 2341 and 2349 the smallest integer that is 5499009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2341 and 2349 is 5499009.

LCM(2341,2349) = 5499009

LCM of 2341 and 2349

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

LCM of:
and

Least Common Multiple of 2341 and 2349

LCM of 2341 and 2349 is 5499009

Least common multiple can be found by multiplying the highest exponent prime factors of 2341 and 2349. First we will calculate the prime factors of 2341 and 2349.

Prime Factorization of 2341


2341 2341
1

Prime factors of 2341 are 2341. Prime factorization of 2341 in exponential form is:

2341 = 23411

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 2341 and 2349.

LCM(2341,2349) = 34×291×23411
LCM(2341,2349) = 5499009

Factors of 2341

List of positive integer factors of 2341 that divides 2341 without a remainder.

1, 2341

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 2341 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 2341 and 2349, than apply into the LCM equation.

GCF(2341,2349) = 1
LCM(2341,2349) = ( 2341 × 2349) / 1
LCM(2341,2349) = 5499009 / 1
LCM(2341,2349) = 5499009

Properties of LCM 2341 and 2349

(i) The LCM of 2349 and 2341 is associative

LCM of 2341 and 2349 = LCM of 2349 and 2341

Related Least Common Multiples of 2341

Related Least Common Multiples of 2349

Frequently Asked Questions on LCM of 2341 and 2349

1. What is the LCM of 2341 and 2349?

Answer: LCM of 2341 and 2349 is 5499009.

2. What are the Factors of 2341?

Answer: Factors of 2341 are 1, 2341. There are 2 integers that are factors of 2341. The greatest factor of 2341 is 2341.

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 2341 and 2349?

Answer:

Least Common Multiple of 2341 and 2349 = 5499009

Step 1: Find the prime factorization of 2341

2341 = 2341

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 = 5499009 = 3 x 3 x 3 x 3 x 29 x 2341

Step 4: Therefore, the least common multiple of 2341 and 2349 is 5499009.