Least Common Multiple of 13363 and 13371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13363 and 13371 the smallest integer that is 178676673 that is divisible by both numbers.

Least Common Multiple (LCM) of 13363 and 13371 is 178676673.

LCM(13363,13371) = 178676673

LCM of 13363 and 13371

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

LCM of:
and

Least Common Multiple of 13363 and 13371

LCM of 13363 and 13371 is 178676673

Least common multiple can be found by multiplying the highest exponent prime factors of 13363 and 13371. First we will calculate the prime factors of 13363 and 13371.

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

Prime Factorization of 13371


3 13371
4457 4457
1

Prime factors of 13371 are 3,4457. Prime factorization of 13371 in exponential form is:

13371 = 31×44571

Now multiplying the highest exponent prime factors to calculate the LCM of 13363 and 13371.

LCM(13363,13371) = 31×71×231×831×44571
LCM(13363,13371) = 178676673

Factors of 13363

List of positive integer factors of 13363 that divides 13363 without a remainder.

1, 7, 23, 83, 161, 581, 1909, 13363

Factors of 13371

List of positive integer factors of 13371 that divides 13371 without a remainder.

1, 3, 4457, 13371

Least Common Multiple of 13363 and 13371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13363 and 13371, than apply into the LCM equation.

GCF(13363,13371) = 1
LCM(13363,13371) = ( 13363 × 13371) / 1
LCM(13363,13371) = 178676673 / 1
LCM(13363,13371) = 178676673

Properties of LCM 13363 and 13371

(i) The LCM of 13371 and 13363 is associative

LCM of 13363 and 13371 = LCM of 13371 and 13363

Related Least Common Multiples of 13363

Related Least Common Multiples of 13371

Frequently Asked Questions on LCM of 13363 and 13371

1. What is the LCM of 13363 and 13371?

Answer: LCM of 13363 and 13371 is 178676673.

2. 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.

3. What are the Factors of 13371?

Answer: Factors of 13371 are 1, 3, 4457, 13371. There are 4 integers that are factors of 13371. The greatest factor of 13371 is 13371.

4. How to Find the LCM of 13363 and 13371?

Answer:

Least Common Multiple of 13363 and 13371 = 178676673

Step 1: Find the prime factorization of 13363

13363 = 7 x 23 x 83

Step 2: Find the prime factorization of 13371

13371 = 3 x 4457

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

LCM = 178676673 = 3 x 7 x 23 x 83 x 4457

Step 4: Therefore, the least common multiple of 13363 and 13371 is 178676673.