Least Common Multiple of 5385 and 5392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5385 and 5392 the smallest integer that is 29035920 that is divisible by both numbers.

Least Common Multiple (LCM) of 5385 and 5392 is 29035920.

LCM(5385,5392) = 29035920

LCM of 5385 and 5392

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

LCM of:
and

Least Common Multiple of 5385 and 5392

LCM of 5385 and 5392 is 29035920

Least common multiple can be found by multiplying the highest exponent prime factors of 5385 and 5392. First we will calculate the prime factors of 5385 and 5392.

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

Prime Factorization of 5392


2 5392
2 2696
2 1348
2 674
337 337
1

Prime factors of 5392 are 2,337. Prime factorization of 5392 in exponential form is:

5392 = 24×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5385 and 5392.

LCM(5385,5392) = 24×31×51×3371×3591
LCM(5385,5392) = 29035920

Factors of 5385

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

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

Factors of 5392

List of positive integer factors of 5392 that divides 5392 without a remainder.

1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

Least Common Multiple of 5385 and 5392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5385 and 5392, than apply into the LCM equation.

GCF(5385,5392) = 1
LCM(5385,5392) = ( 5385 × 5392) / 1
LCM(5385,5392) = 29035920 / 1
LCM(5385,5392) = 29035920

Properties of LCM 5385 and 5392

(i) The LCM of 5392 and 5385 is associative

LCM of 5385 and 5392 = LCM of 5392 and 5385

Related Least Common Multiples of 5385

Related Least Common Multiples of 5392

Frequently Asked Questions on LCM of 5385 and 5392

1. What is the LCM of 5385 and 5392?

Answer: LCM of 5385 and 5392 is 29035920.

2. 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.

3. What are the Factors of 5392?

Answer: Factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392. There are 10 integers that are factors of 5392. The greatest factor of 5392 is 5392.

4. How to Find the LCM of 5385 and 5392?

Answer:

Least Common Multiple of 5385 and 5392 = 29035920

Step 1: Find the prime factorization of 5385

5385 = 3 x 5 x 359

Step 2: Find the prime factorization of 5392

5392 = 2 x 2 x 2 x 2 x 337

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

LCM = 29035920 = 2 x 2 x 2 x 2 x 3 x 5 x 337 x 359

Step 4: Therefore, the least common multiple of 5385 and 5392 is 29035920.