Least Common Multiple of 5378 and 5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5378 and 5385 the smallest integer that is 28960530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5378 and 5385 is 28960530.

LCM(5378,5385) = 28960530

LCM of 5378 and 5385

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

LCM of:
and

Least Common Multiple of 5378 and 5385

LCM of 5378 and 5385 is 28960530

Least common multiple can be found by multiplying the highest exponent prime factors of 5378 and 5385. First we will calculate the prime factors of 5378 and 5385.

Prime Factorization of 5378


2 5378
2689 2689
1

Prime factors of 5378 are 2,2689. Prime factorization of 5378 in exponential form is:

5378 = 21×26891

Prime Factorization of 5385


3 5385
5 1795
359 359
1

Prime factors of 5385 are 3, 5,359. Prime factorization of 5385 in exponential form is:

5385 = 31×51×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 5378 and 5385.

LCM(5378,5385) = 21×31×51×3591×26891
LCM(5378,5385) = 28960530

Factors of 5378

List of positive integer factors of 5378 that divides 5378 without a remainder.

1, 2, 2689, 5378

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1, 3, 5, 15, 359, 1077, 1795, 5385

Least Common Multiple of 5378 and 5385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5378 and 5385, than apply into the LCM equation.

GCF(5378,5385) = 1
LCM(5378,5385) = ( 5378 × 5385) / 1
LCM(5378,5385) = 28960530 / 1
LCM(5378,5385) = 28960530

Properties of LCM 5378 and 5385

(i) The LCM of 5385 and 5378 is associative

LCM of 5378 and 5385 = LCM of 5385 and 5378

Related Least Common Multiples of 5378

Related Least Common Multiples of 5385

Frequently Asked Questions on LCM of 5378 and 5385

1. What is the LCM of 5378 and 5385?

Answer: LCM of 5378 and 5385 is 28960530.

2. What are the Factors of 5378?

Answer: Factors of 5378 are 1, 2, 2689, 5378. There are 4 integers that are factors of 5378. The greatest factor of 5378 is 5378.

3. What are the Factors of 5385?

Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.

4. How to Find the LCM of 5378 and 5385?

Answer:

Least Common Multiple of 5378 and 5385 = 28960530

Step 1: Find the prime factorization of 5378

5378 = 2 x 2689

Step 2: Find the prime factorization of 5385

5385 = 3 x 5 x 359

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

LCM = 28960530 = 2 x 3 x 5 x 359 x 2689

Step 4: Therefore, the least common multiple of 5378 and 5385 is 28960530.