Least Common Multiple of 13378 and 13383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13378 and 13383 the smallest integer that is 179037774 that is divisible by both numbers.

Least Common Multiple (LCM) of 13378 and 13383 is 179037774.

LCM(13378,13383) = 179037774

LCM of 13378 and 13383

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

LCM of:
and

Least Common Multiple of 13378 and 13383

LCM of 13378 and 13383 is 179037774

Least common multiple can be found by multiplying the highest exponent prime factors of 13378 and 13383. First we will calculate the prime factors of 13378 and 13383.

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

Prime Factorization of 13383


3 13383
3 4461
1487 1487
1

Prime factors of 13383 are 3,1487. Prime factorization of 13383 in exponential form is:

13383 = 32×14871

Now multiplying the highest exponent prime factors to calculate the LCM of 13378 and 13383.

LCM(13378,13383) = 21×32×14871×66891
LCM(13378,13383) = 179037774

Factors of 13378

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

1, 2, 6689, 13378

Factors of 13383

List of positive integer factors of 13383 that divides 13383 without a remainder.

1, 3, 9, 1487, 4461, 13383

Least Common Multiple of 13378 and 13383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13378 and 13383, than apply into the LCM equation.

GCF(13378,13383) = 1
LCM(13378,13383) = ( 13378 × 13383) / 1
LCM(13378,13383) = 179037774 / 1
LCM(13378,13383) = 179037774

Properties of LCM 13378 and 13383

(i) The LCM of 13383 and 13378 is associative

LCM of 13378 and 13383 = LCM of 13383 and 13378

Related Least Common Multiples of 13378

Related Least Common Multiples of 13383

Frequently Asked Questions on LCM of 13378 and 13383

1. What is the LCM of 13378 and 13383?

Answer: LCM of 13378 and 13383 is 179037774.

2. 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.

3. What are the Factors of 13383?

Answer: Factors of 13383 are 1, 3, 9, 1487, 4461, 13383. There are 6 integers that are factors of 13383. The greatest factor of 13383 is 13383.

4. How to Find the LCM of 13378 and 13383?

Answer:

Least Common Multiple of 13378 and 13383 = 179037774

Step 1: Find the prime factorization of 13378

13378 = 2 x 6689

Step 2: Find the prime factorization of 13383

13383 = 3 x 3 x 1487

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

LCM = 179037774 = 2 x 3 x 3 x 1487 x 6689

Step 4: Therefore, the least common multiple of 13378 and 13383 is 179037774.