Least Common Multiple of 13357 and 13361

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 13361 the smallest integer that is 178462877 that is divisible by both numbers.

Least Common Multiple (LCM) of 13357 and 13361 is 178462877.

LCM(13357,13361) = 178462877

LCM of 13357 and 13361

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

LCM of:
and

Least Common Multiple of 13357 and 13361

LCM of 13357 and 13361 is 178462877

Least common multiple can be found by multiplying the highest exponent prime factors of 13357 and 13361. First we will calculate the prime factors of 13357 and 13361.

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 13361


31 13361
431 431
1

Prime factors of 13361 are 31,431. Prime factorization of 13361 in exponential form is:

13361 = 311×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 13357 and 13361.

LCM(13357,13361) = 192×311×371×4311
LCM(13357,13361) = 178462877

Factors of 13357

List of positive integer factors of 13357 that divides 13357 without a remainder.

1, 19, 37, 361, 703, 13357

Factors of 13361

List of positive integer factors of 13361 that divides 13361 without a remainder.

1, 31, 431, 13361

Least Common Multiple of 13357 and 13361 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 13361, than apply into the LCM equation.

GCF(13357,13361) = 1
LCM(13357,13361) = ( 13357 × 13361) / 1
LCM(13357,13361) = 178462877 / 1
LCM(13357,13361) = 178462877

Properties of LCM 13357 and 13361

(i) The LCM of 13361 and 13357 is associative

LCM of 13357 and 13361 = LCM of 13361 and 13357

Related Least Common Multiples of 13357

Related Least Common Multiples of 13361

Frequently Asked Questions on LCM of 13357 and 13361

1. What is the LCM of 13357 and 13361?

Answer: LCM of 13357 and 13361 is 178462877.

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 13361?

Answer: Factors of 13361 are 1, 31, 431, 13361. There are 4 integers that are factors of 13361. The greatest factor of 13361 is 13361.

4. How to Find the LCM of 13357 and 13361?

Answer:

Least Common Multiple of 13357 and 13361 = 178462877

Step 1: Find the prime factorization of 13357

13357 = 19 x 19 x 37

Step 2: Find the prime factorization of 13361

13361 = 31 x 431

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

LCM = 178462877 = 19 x 19 x 31 x 37 x 431

Step 4: Therefore, the least common multiple of 13357 and 13361 is 178462877.