Least Common Multiple of 2349 and 2356

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 2356 the smallest integer that is 5534244 that is divisible by both numbers.

Least Common Multiple (LCM) of 2349 and 2356 is 5534244.

LCM(2349,2356) = 5534244

LCM of 2349 and 2356

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

LCM of:
and

Least Common Multiple of 2349 and 2356

LCM of 2349 and 2356 is 5534244

Least common multiple can be found by multiplying the highest exponent prime factors of 2349 and 2356. First we will calculate the prime factors of 2349 and 2356.

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 2356


2 2356
2 1178
19 589
31 31
1

Prime factors of 2356 are 2, 19,31. Prime factorization of 2356 in exponential form is:

2356 = 22×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2349 and 2356.

LCM(2349,2356) = 22×34×191×291×311
LCM(2349,2356) = 5534244

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 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356

Least Common Multiple of 2349 and 2356 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 2356, than apply into the LCM equation.

GCF(2349,2356) = 1
LCM(2349,2356) = ( 2349 × 2356) / 1
LCM(2349,2356) = 5534244 / 1
LCM(2349,2356) = 5534244

Properties of LCM 2349 and 2356

(i) The LCM of 2356 and 2349 is associative

LCM of 2349 and 2356 = LCM of 2356 and 2349

Related Least Common Multiples of 2349

Related Least Common Multiples of 2356

Frequently Asked Questions on LCM of 2349 and 2356

1. What is the LCM of 2349 and 2356?

Answer: LCM of 2349 and 2356 is 5534244.

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 2356?

Answer: Factors of 2356 are 1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356. There are 12 integers that are factors of 2356. The greatest factor of 2356 is 2356.

4. How to Find the LCM of 2349 and 2356?

Answer:

Least Common Multiple of 2349 and 2356 = 5534244

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 2356

2356 = 2 x 2 x 19 x 31

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

LCM = 5534244 = 2 x 2 x 3 x 3 x 3 x 3 x 19 x 29 x 31

Step 4: Therefore, the least common multiple of 2349 and 2356 is 5534244.