Least Common Multiple of 13371 and 13378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13371 and 13378 the smallest integer that is 178877238 that is divisible by both numbers.

Least Common Multiple (LCM) of 13371 and 13378 is 178877238.

LCM(13371,13378) = 178877238

LCM of 13371 and 13378

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

LCM of:
and

Least Common Multiple of 13371 and 13378

LCM of 13371 and 13378 is 178877238

Least common multiple can be found by multiplying the highest exponent prime factors of 13371 and 13378. First we will calculate the prime factors of 13371 and 13378.

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

Prime Factorization of 13378


2 13378
6689 6689
1

Prime factors of 13378 are 2,6689. Prime factorization of 13378 in exponential form is:

13378 = 21×66891

Now multiplying the highest exponent prime factors to calculate the LCM of 13371 and 13378.

LCM(13371,13378) = 21×31×44571×66891
LCM(13371,13378) = 178877238

Factors of 13371

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

1, 3, 4457, 13371

Factors of 13378

List of positive integer factors of 13378 that divides 13378 without a remainder.

1, 2, 6689, 13378

Least Common Multiple of 13371 and 13378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13371 and 13378, than apply into the LCM equation.

GCF(13371,13378) = 1
LCM(13371,13378) = ( 13371 × 13378) / 1
LCM(13371,13378) = 178877238 / 1
LCM(13371,13378) = 178877238

Properties of LCM 13371 and 13378

(i) The LCM of 13378 and 13371 is associative

LCM of 13371 and 13378 = LCM of 13378 and 13371

Related Least Common Multiples of 13371

Related Least Common Multiples of 13378

Frequently Asked Questions on LCM of 13371 and 13378

1. What is the LCM of 13371 and 13378?

Answer: LCM of 13371 and 13378 is 178877238.

2. 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.

3. What are the Factors of 13378?

Answer: Factors of 13378 are 1, 2, 6689, 13378. There are 4 integers that are factors of 13378. The greatest factor of 13378 is 13378.

4. How to Find the LCM of 13371 and 13378?

Answer:

Least Common Multiple of 13371 and 13378 = 178877238

Step 1: Find the prime factorization of 13371

13371 = 3 x 4457

Step 2: Find the prime factorization of 13378

13378 = 2 x 6689

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

LCM = 178877238 = 2 x 3 x 4457 x 6689

Step 4: Therefore, the least common multiple of 13371 and 13378 is 178877238.