Least Common Multiple of 5381 and 5388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5381 and 5388 the smallest integer that is 28992828 that is divisible by both numbers.

Least Common Multiple (LCM) of 5381 and 5388 is 28992828.

LCM(5381,5388) = 28992828

LCM of 5381 and 5388

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

LCM of:
and

Least Common Multiple of 5381 and 5388

LCM of 5381 and 5388 is 28992828

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5388. First we will calculate the prime factors of 5381 and 5388.

Prime Factorization of 5381


5381 5381
1

Prime factors of 5381 are 5381. Prime factorization of 5381 in exponential form is:

5381 = 53811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5381 and 5388.

LCM(5381,5388) = 22×31×4491×53811
LCM(5381,5388) = 28992828

Factors of 5381

List of positive integer factors of 5381 that divides 5381 without a remainder.

1, 5381

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

Least Common Multiple of 5381 and 5388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5381 and 5388, than apply into the LCM equation.

GCF(5381,5388) = 1
LCM(5381,5388) = ( 5381 × 5388) / 1
LCM(5381,5388) = 28992828 / 1
LCM(5381,5388) = 28992828

Properties of LCM 5381 and 5388

(i) The LCM of 5388 and 5381 is associative

LCM of 5381 and 5388 = LCM of 5388 and 5381

Related Least Common Multiples of 5381

Related Least Common Multiples of 5388

Frequently Asked Questions on LCM of 5381 and 5388

1. What is the LCM of 5381 and 5388?

Answer: LCM of 5381 and 5388 is 28992828.

2. What are the Factors of 5381?

Answer: Factors of 5381 are 1, 5381. There are 2 integers that are factors of 5381. The greatest factor of 5381 is 5381.

3. 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.

4. How to Find the LCM of 5381 and 5388?

Answer:

Least Common Multiple of 5381 and 5388 = 28992828

Step 1: Find the prime factorization of 5381

5381 = 5381

Step 2: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

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

LCM = 28992828 = 2 x 2 x 3 x 449 x 5381

Step 4: Therefore, the least common multiple of 5381 and 5388 is 28992828.