Least Common Multiple of 13378 and 13384

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 13384 the smallest integer that is 89525576 that is divisible by both numbers.

Least Common Multiple (LCM) of 13378 and 13384 is 89525576.

LCM(13378,13384) = 89525576

LCM of 13378 and 13384

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

LCM of:
and

Least Common Multiple of 13378 and 13384

LCM of 13378 and 13384 is 89525576

Least common multiple can be found by multiplying the highest exponent prime factors of 13378 and 13384. First we will calculate the prime factors of 13378 and 13384.

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 13384


2 13384
2 6692
2 3346
7 1673
239 239
1

Prime factors of 13384 are 2, 7,239. Prime factorization of 13384 in exponential form is:

13384 = 23×71×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 13378 and 13384.

LCM(13378,13384) = 23×71×2391×66891
LCM(13378,13384) = 89525576

Factors of 13378

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

1, 2, 6689, 13378

Factors of 13384

List of positive integer factors of 13384 that divides 13384 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384

Least Common Multiple of 13378 and 13384 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 13384, than apply into the LCM equation.

GCF(13378,13384) = 2
LCM(13378,13384) = ( 13378 × 13384) / 2
LCM(13378,13384) = 179051152 / 2
LCM(13378,13384) = 89525576

Properties of LCM 13378 and 13384

(i) The LCM of 13384 and 13378 is associative

LCM of 13378 and 13384 = LCM of 13384 and 13378

Related Least Common Multiples of 13378

Related Least Common Multiples of 13384

Frequently Asked Questions on LCM of 13378 and 13384

1. What is the LCM of 13378 and 13384?

Answer: LCM of 13378 and 13384 is 89525576.

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 13384?

Answer: Factors of 13384 are 1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384. There are 16 integers that are factors of 13384. The greatest factor of 13384 is 13384.

4. How to Find the LCM of 13378 and 13384?

Answer:

Least Common Multiple of 13378 and 13384 = 89525576

Step 1: Find the prime factorization of 13378

13378 = 2 x 6689

Step 2: Find the prime factorization of 13384

13384 = 2 x 2 x 2 x 7 x 239

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

LCM = 89525576 = 2 x 2 x 2 x 7 x 239 x 6689

Step 4: Therefore, the least common multiple of 13378 and 13384 is 89525576.