Least Common Multiple of 5385 and 5393

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 5393 the smallest integer that is 29041305 that is divisible by both numbers.

Least Common Multiple (LCM) of 5385 and 5393 is 29041305.

LCM(5385,5393) = 29041305

LCM of 5385 and 5393

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

LCM of:
and

Least Common Multiple of 5385 and 5393

LCM of 5385 and 5393 is 29041305

Least common multiple can be found by multiplying the highest exponent prime factors of 5385 and 5393. First we will calculate the prime factors of 5385 and 5393.

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 5393


5393 5393
1

Prime factors of 5393 are 5393. Prime factorization of 5393 in exponential form is:

5393 = 53931

Now multiplying the highest exponent prime factors to calculate the LCM of 5385 and 5393.

LCM(5385,5393) = 31×51×3591×53931
LCM(5385,5393) = 29041305

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 5393

List of positive integer factors of 5393 that divides 5393 without a remainder.

1, 5393

Least Common Multiple of 5385 and 5393 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 5393, than apply into the LCM equation.

GCF(5385,5393) = 1
LCM(5385,5393) = ( 5385 × 5393) / 1
LCM(5385,5393) = 29041305 / 1
LCM(5385,5393) = 29041305

Properties of LCM 5385 and 5393

(i) The LCM of 5393 and 5385 is associative

LCM of 5385 and 5393 = LCM of 5393 and 5385

Related Least Common Multiples of 5385

Related Least Common Multiples of 5393

Frequently Asked Questions on LCM of 5385 and 5393

1. What is the LCM of 5385 and 5393?

Answer: LCM of 5385 and 5393 is 29041305.

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 5393?

Answer: Factors of 5393 are 1, 5393. There are 2 integers that are factors of 5393. The greatest factor of 5393 is 5393.

4. How to Find the LCM of 5385 and 5393?

Answer:

Least Common Multiple of 5385 and 5393 = 29041305

Step 1: Find the prime factorization of 5385

5385 = 3 x 5 x 359

Step 2: Find the prime factorization of 5393

5393 = 5393

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

LCM = 29041305 = 3 x 5 x 359 x 5393

Step 4: Therefore, the least common multiple of 5385 and 5393 is 29041305.