Least Common Multiple of 2349 and 2355

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 2355 the smallest integer that is 1843965 that is divisible by both numbers.

Least Common Multiple (LCM) of 2349 and 2355 is 1843965.

LCM(2349,2355) = 1843965

LCM of 2349 and 2355

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

LCM of:
and

Least Common Multiple of 2349 and 2355

LCM of 2349 and 2355 is 1843965

Least common multiple can be found by multiplying the highest exponent prime factors of 2349 and 2355. First we will calculate the prime factors of 2349 and 2355.

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 2355


3 2355
5 785
157 157
1

Prime factors of 2355 are 3, 5,157. Prime factorization of 2355 in exponential form is:

2355 = 31×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2349 and 2355.

LCM(2349,2355) = 34×51×291×1571
LCM(2349,2355) = 1843965

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 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1, 3, 5, 15, 157, 471, 785, 2355

Least Common Multiple of 2349 and 2355 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 2355, than apply into the LCM equation.

GCF(2349,2355) = 3
LCM(2349,2355) = ( 2349 × 2355) / 3
LCM(2349,2355) = 5531895 / 3
LCM(2349,2355) = 1843965

Properties of LCM 2349 and 2355

(i) The LCM of 2355 and 2349 is associative

LCM of 2349 and 2355 = LCM of 2355 and 2349

Related Least Common Multiples of 2349

Related Least Common Multiples of 2355

Frequently Asked Questions on LCM of 2349 and 2355

1. What is the LCM of 2349 and 2355?

Answer: LCM of 2349 and 2355 is 1843965.

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 2355?

Answer: Factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355. There are 8 integers that are factors of 2355. The greatest factor of 2355 is 2355.

4. How to Find the LCM of 2349 and 2355?

Answer:

Least Common Multiple of 2349 and 2355 = 1843965

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 2355

2355 = 3 x 5 x 157

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

LCM = 1843965 = 3 x 3 x 3 x 3 x 5 x 29 x 157

Step 4: Therefore, the least common multiple of 2349 and 2355 is 1843965.