Least Common Multiple of 13355 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 13355 and 13361 the smallest integer that is 178436155 that is divisible by both numbers.

Least Common Multiple (LCM) of 13355 and 13361 is 178436155.

LCM(13355,13361) = 178436155

LCM of 13355 and 13361

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

LCM of:
and

Least Common Multiple of 13355 and 13361

LCM of 13355 and 13361 is 178436155

Least common multiple can be found by multiplying the highest exponent prime factors of 13355 and 13361. First we will calculate the prime factors of 13355 and 13361.

Prime Factorization of 13355


5 13355
2671 2671
1

Prime factors of 13355 are 5,2671. Prime factorization of 13355 in exponential form is:

13355 = 51×26711

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 13355 and 13361.

LCM(13355,13361) = 51×311×4311×26711
LCM(13355,13361) = 178436155

Factors of 13355

List of positive integer factors of 13355 that divides 13355 without a remainder.

1, 5, 2671, 13355

Factors of 13361

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

1, 31, 431, 13361

Least Common Multiple of 13355 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 13355 and 13361, than apply into the LCM equation.

GCF(13355,13361) = 1
LCM(13355,13361) = ( 13355 × 13361) / 1
LCM(13355,13361) = 178436155 / 1
LCM(13355,13361) = 178436155

Properties of LCM 13355 and 13361

(i) The LCM of 13361 and 13355 is associative

LCM of 13355 and 13361 = LCM of 13361 and 13355

Related Least Common Multiples of 13355

Related Least Common Multiples of 13361

Frequently Asked Questions on LCM of 13355 and 13361

1. What is the LCM of 13355 and 13361?

Answer: LCM of 13355 and 13361 is 178436155.

2. What are the Factors of 13355?

Answer: Factors of 13355 are 1, 5, 2671, 13355. There are 4 integers that are factors of 13355. The greatest factor of 13355 is 13355.

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 13355 and 13361?

Answer:

Least Common Multiple of 13355 and 13361 = 178436155

Step 1: Find the prime factorization of 13355

13355 = 5 x 2671

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 = 178436155 = 5 x 31 x 431 x 2671

Step 4: Therefore, the least common multiple of 13355 and 13361 is 178436155.