Least Common Multiple of 13355 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 13355 and 13363 the smallest integer that is 178462865 that is divisible by both numbers.

Least Common Multiple (LCM) of 13355 and 13363 is 178462865.

LCM(13355,13363) = 178462865

LCM of 13355 and 13363

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

LCM of:
and

Least Common Multiple of 13355 and 13363

LCM of 13355 and 13363 is 178462865

Least common multiple can be found by multiplying the highest exponent prime factors of 13355 and 13363. First we will calculate the prime factors of 13355 and 13363.

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 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 13355 and 13363.

LCM(13355,13363) = 51×71×231×831×26711
LCM(13355,13363) = 178462865

Factors of 13355

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

1, 5, 2671, 13355

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 13355 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 13355 and 13363, than apply into the LCM equation.

GCF(13355,13363) = 1
LCM(13355,13363) = ( 13355 × 13363) / 1
LCM(13355,13363) = 178462865 / 1
LCM(13355,13363) = 178462865

Properties of LCM 13355 and 13363

(i) The LCM of 13363 and 13355 is associative

LCM of 13355 and 13363 = LCM of 13363 and 13355

Related Least Common Multiples of 13355

Related Least Common Multiples of 13363

Frequently Asked Questions on LCM of 13355 and 13363

1. What is the LCM of 13355 and 13363?

Answer: LCM of 13355 and 13363 is 178462865.

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 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 13355 and 13363?

Answer:

Least Common Multiple of 13355 and 13363 = 178462865

Step 1: Find the prime factorization of 13355

13355 = 5 x 2671

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 = 178462865 = 5 x 7 x 23 x 83 x 2671

Step 4: Therefore, the least common multiple of 13355 and 13363 is 178462865.