Least Common Multiple of 5388 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 5388 and 5393 the smallest integer that is 29057484 that is divisible by both numbers.

Least Common Multiple (LCM) of 5388 and 5393 is 29057484.

LCM(5388,5393) = 29057484

LCM of 5388 and 5393

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

LCM of:
and

Least Common Multiple of 5388 and 5393

LCM of 5388 and 5393 is 29057484

Least common multiple can be found by multiplying the highest exponent prime factors of 5388 and 5393. First we will calculate the prime factors of 5388 and 5393.

Prime Factorization of 5388


2 5388
2 2694
3 1347
449 449
1

Prime factors of 5388 are 2, 3,449. Prime factorization of 5388 in exponential form is:

5388 = 22×31×4491

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 5388 and 5393.

LCM(5388,5393) = 22×31×4491×53931
LCM(5388,5393) = 29057484

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

Factors of 5393

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

1, 5393

Least Common Multiple of 5388 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 5388 and 5393, than apply into the LCM equation.

GCF(5388,5393) = 1
LCM(5388,5393) = ( 5388 × 5393) / 1
LCM(5388,5393) = 29057484 / 1
LCM(5388,5393) = 29057484

Properties of LCM 5388 and 5393

(i) The LCM of 5393 and 5388 is associative

LCM of 5388 and 5393 = LCM of 5393 and 5388

Related Least Common Multiples of 5388

Related Least Common Multiples of 5393

Frequently Asked Questions on LCM of 5388 and 5393

1. What is the LCM of 5388 and 5393?

Answer: LCM of 5388 and 5393 is 29057484.

2. What are the Factors of 5388?

Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.

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 5388 and 5393?

Answer:

Least Common Multiple of 5388 and 5393 = 29057484

Step 1: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

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 = 29057484 = 2 x 2 x 3 x 449 x 5393

Step 4: Therefore, the least common multiple of 5388 and 5393 is 29057484.