Least Common Multiple of 2349 and 2353
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 2353 the smallest integer that is 5527197 that is divisible by both numbers.
Least Common Multiple (LCM) of 2349 and 2353 is 5527197.
LCM(2349,2353) = 5527197
LCM of 2349 and 2353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2349 and 2353 by Prime method
- Least Common Multiple of 2349 and 2353 with GCF Formula
LCM of 2349 and 2353 is 5527197
Least common multiple can be found by multiplying the highest exponent prime factors of 2349 and 2353. First we will calculate the prime factors of 2349 and 2353.
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 2353
| 13 | 2353 |
| 181 | 181 |
| 1 |
Prime factors of 2353 are 13,181. Prime factorization of 2353 in exponential form is:
2353 = 131×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 2349 and 2353.
LCM(2349,2353) = 34×131×291×1811
LCM(2349,2353) = 5527197
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 2353
List of positive integer factors of 2353 that divides 2353 without a remainder.
1, 13, 181, 2353
Least Common Multiple of 2349 and 2353 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 2353, than apply into the LCM equation.
GCF(2349,2353) = 1
LCM(2349,2353) = ( 2349 × 2353) / 1
LCM(2349,2353) = 5527197 / 1
LCM(2349,2353) = 5527197
Properties of LCM 2349 and 2353
(i) The LCM of 2353 and 2349 is associative
LCM of 2349 and 2353 = LCM of 2353 and 2349
Related Least Common Multiples of 2349
Related Least Common Multiples of 2353
Frequently Asked Questions on LCM of 2349 and 2353
1. What is the LCM of 2349 and 2353?
Answer: LCM of 2349 and 2353 is 5527197.
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 2353?
Answer: Factors of 2353 are 1, 13, 181, 2353. There are 4 integers that are factors of 2353. The greatest factor of 2353 is 2353.
4. How to Find the LCM of 2349 and 2353?
Answer:
Least Common Multiple of 2349 and 2353 = 5527197
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 2353
2353 = 13 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5527197 = 3 x 3 x 3 x 3 x 13 x 29 x 181
Step 4: Therefore, the least common multiple of 2349 and 2353 is 5527197.