Least Common Multiple of 5381 and 5384

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 5384 the smallest integer that is 28971304 that is divisible by both numbers.

Least Common Multiple (LCM) of 5381 and 5384 is 28971304.

LCM(5381,5384) = 28971304

LCM of 5381 and 5384

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

LCM of:
and

Least Common Multiple of 5381 and 5384

LCM of 5381 and 5384 is 28971304

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5384. First we will calculate the prime factors of 5381 and 5384.

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 5384


2 5384
2 2692
2 1346
673 673
1

Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:

5384 = 23×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 5381 and 5384.

LCM(5381,5384) = 23×6731×53811
LCM(5381,5384) = 28971304

Factors of 5381

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

1, 5381

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1, 2, 4, 8, 673, 1346, 2692, 5384

Least Common Multiple of 5381 and 5384 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 5384, than apply into the LCM equation.

GCF(5381,5384) = 1
LCM(5381,5384) = ( 5381 × 5384) / 1
LCM(5381,5384) = 28971304 / 1
LCM(5381,5384) = 28971304

Properties of LCM 5381 and 5384

(i) The LCM of 5384 and 5381 is associative

LCM of 5381 and 5384 = LCM of 5384 and 5381

Related Least Common Multiples of 5381

Related Least Common Multiples of 5384

Frequently Asked Questions on LCM of 5381 and 5384

1. What is the LCM of 5381 and 5384?

Answer: LCM of 5381 and 5384 is 28971304.

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 5384?

Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.

4. How to Find the LCM of 5381 and 5384?

Answer:

Least Common Multiple of 5381 and 5384 = 28971304

Step 1: Find the prime factorization of 5381

5381 = 5381

Step 2: Find the prime factorization of 5384

5384 = 2 x 2 x 2 x 673

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

LCM = 28971304 = 2 x 2 x 2 x 673 x 5381

Step 4: Therefore, the least common multiple of 5381 and 5384 is 28971304.