Least Common Multiple of 13357 and 13363
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13357 and 13363 the smallest integer that is 178489591 that is divisible by both numbers.
Least Common Multiple (LCM) of 13357 and 13363 is 178489591.
LCM(13357,13363) = 178489591
LCM of 13357 and 13363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13357 and 13363 by Prime method
- Least Common Multiple of 13357 and 13363 with GCF Formula
LCM of 13357 and 13363 is 178489591
Least common multiple can be found by multiplying the highest exponent prime factors of 13357 and 13363. First we will calculate the prime factors of 13357 and 13363.
Prime Factorization of 13357
| 19 | 13357 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 13357 are 19,37. Prime factorization of 13357 in exponential form is:
13357 = 192×371
Prime Factorization of 13363
| 7 | 13363 |
| 23 | 1909 |
| 83 | 83 |
| 1 |
Prime factors of 13363 are 7, 23,83. Prime factorization of 13363 in exponential form is:
13363 = 71×231×831
Now multiplying the highest exponent prime factors to calculate the LCM of 13357 and 13363.
LCM(13357,13363) = 71×192×231×371×831
LCM(13357,13363) = 178489591
Factors of 13357
List of positive integer factors of 13357 that divides 13357 without a remainder.
1, 19, 37, 361, 703, 13357
Factors of 13363
List of positive integer factors of 13363 that divides 13363 without a remainder.
1, 7, 23, 83, 161, 581, 1909, 13363
Least Common Multiple of 13357 and 13363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13357 and 13363, than apply into the LCM equation.
GCF(13357,13363) = 1
LCM(13357,13363) = ( 13357 × 13363) / 1
LCM(13357,13363) = 178489591 / 1
LCM(13357,13363) = 178489591
Properties of LCM 13357 and 13363
(i) The LCM of 13363 and 13357 is associative
LCM of 13357 and 13363 = LCM of 13363 and 13357
Related Least Common Multiples of 13357
Related Least Common Multiples of 13363
Frequently Asked Questions on LCM of 13357 and 13363
1. What is the LCM of 13357 and 13363?
Answer: LCM of 13357 and 13363 is 178489591.
2. What are the Factors of 13357?
Answer: Factors of 13357 are 1, 19, 37, 361, 703, 13357. There are 6 integers that are factors of 13357. The greatest factor of 13357 is 13357.
3. What are the Factors of 13363?
Answer: Factors of 13363 are 1, 7, 23, 83, 161, 581, 1909, 13363. There are 8 integers that are factors of 13363. The greatest factor of 13363 is 13363.
4. How to Find the LCM of 13357 and 13363?
Answer:
Least Common Multiple of 13357 and 13363 = 178489591
Step 1: Find the prime factorization of 13357
13357 = 19 x 19 x 37
Step 2: Find the prime factorization of 13363
13363 = 7 x 23 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 178489591 = 7 x 19 x 19 x 23 x 37 x 83
Step 4: Therefore, the least common multiple of 13357 and 13363 is 178489591.