Least Common Multiple of 13351 and 13357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13351 and 13357 the smallest integer that is 178329307 that is divisible by both numbers.
Least Common Multiple (LCM) of 13351 and 13357 is 178329307.
LCM(13351,13357) = 178329307
LCM of 13351 and 13357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13351 and 13357 by Prime method
- Least Common Multiple of 13351 and 13357 with GCF Formula
LCM of 13351 and 13357 is 178329307
Least common multiple can be found by multiplying the highest exponent prime factors of 13351 and 13357. First we will calculate the prime factors of 13351 and 13357.
Prime Factorization of 13351
| 13 | 13351 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 13351 are 13,79. Prime factorization of 13351 in exponential form is:
13351 = 132×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 13351 and 13357.
LCM(13351,13357) = 132×192×371×791
LCM(13351,13357) = 178329307
Factors of 13351
List of positive integer factors of 13351 that divides 13351 without a remainder.
1, 13, 79, 169, 1027, 13351
Factors of 13357
List of positive integer factors of 13357 that divides 13357 without a remainder.
1, 19, 37, 361, 703, 13357
Least Common Multiple of 13351 and 13357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13351 and 13357, than apply into the LCM equation.
GCF(13351,13357) = 1
LCM(13351,13357) = ( 13351 × 13357) / 1
LCM(13351,13357) = 178329307 / 1
LCM(13351,13357) = 178329307
Properties of LCM 13351 and 13357
(i) The LCM of 13357 and 13351 is associative
LCM of 13351 and 13357 = LCM of 13357 and 13351
Related Least Common Multiples of 13351
Related Least Common Multiples of 13357
Frequently Asked Questions on LCM of 13351 and 13357
1. What is the LCM of 13351 and 13357?
Answer: LCM of 13351 and 13357 is 178329307.
2. What are the Factors of 13351?
Answer: Factors of 13351 are 1, 13, 79, 169, 1027, 13351. There are 6 integers that are factors of 13351. The greatest factor of 13351 is 13351.
3. 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.
4. How to Find the LCM of 13351 and 13357?
Answer:
Least Common Multiple of 13351 and 13357 = 178329307
Step 1: Find the prime factorization of 13351
13351 = 13 x 13 x 79
Step 2: Find the prime factorization of 13357
13357 = 19 x 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 178329307 = 13 x 13 x 19 x 19 x 37 x 79
Step 4: Therefore, the least common multiple of 13351 and 13357 is 178329307.