Least Common Multiple of 1349 and 1353
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1349 and 1353 the smallest integer that is 1825197 that is divisible by both numbers.
Least Common Multiple (LCM) of 1349 and 1353 is 1825197.
LCM(1349,1353) = 1825197
LCM of 1349 and 1353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1349 and 1353 by Prime method
- Least Common Multiple of 1349 and 1353 with GCF Formula
LCM of 1349 and 1353 is 1825197
Least common multiple can be found by multiplying the highest exponent prime factors of 1349 and 1353. First we will calculate the prime factors of 1349 and 1353.
Prime Factorization of 1349
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 1349 are 19,71. Prime factorization of 1349 in exponential form is:
1349 = 191×711
Prime Factorization of 1353
| 3 | 1353 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 1353 are 3, 11,41. Prime factorization of 1353 in exponential form is:
1353 = 31×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1349 and 1353.
LCM(1349,1353) = 31×111×191×411×711
LCM(1349,1353) = 1825197
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1, 19, 71, 1349
Factors of 1353
List of positive integer factors of 1353 that divides 1353 without a remainder.
1, 3, 11, 33, 41, 123, 451, 1353
Least Common Multiple of 1349 and 1353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1349 and 1353, than apply into the LCM equation.
GCF(1349,1353) = 1
LCM(1349,1353) = ( 1349 × 1353) / 1
LCM(1349,1353) = 1825197 / 1
LCM(1349,1353) = 1825197
Properties of LCM 1349 and 1353
(i) The LCM of 1353 and 1349 is associative
LCM of 1349 and 1353 = LCM of 1353 and 1349
Related Least Common Multiples of 1349
Related Least Common Multiples of 1353
Frequently Asked Questions on LCM of 1349 and 1353
1. What is the LCM of 1349 and 1353?
Answer: LCM of 1349 and 1353 is 1825197.
2. What are the Factors of 1349?
Answer: Factors of 1349 are 1, 19, 71, 1349. There are 4 integers that are factors of 1349. The greatest factor of 1349 is 1349.
3. What are the Factors of 1353?
Answer: Factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353. There are 8 integers that are factors of 1353. The greatest factor of 1353 is 1353.
4. How to Find the LCM of 1349 and 1353?
Answer:
Least Common Multiple of 1349 and 1353 = 1825197
Step 1: Find the prime factorization of 1349
1349 = 19 x 71
Step 2: Find the prime factorization of 1353
1353 = 3 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1825197 = 3 x 11 x 19 x 41 x 71
Step 4: Therefore, the least common multiple of 1349 and 1353 is 1825197.