Least Common Multiple of 5381 and 5387

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 5387 the smallest integer that is 28987447 that is divisible by both numbers.

Least Common Multiple (LCM) of 5381 and 5387 is 28987447.

LCM(5381,5387) = 28987447

LCM of 5381 and 5387

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

LCM of:
and

Least Common Multiple of 5381 and 5387

LCM of 5381 and 5387 is 28987447

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5387. First we will calculate the prime factors of 5381 and 5387.

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 5387


5387 5387
1

Prime factors of 5387 are 5387. Prime factorization of 5387 in exponential form is:

5387 = 53871

Now multiplying the highest exponent prime factors to calculate the LCM of 5381 and 5387.

LCM(5381,5387) = 53811×53871
LCM(5381,5387) = 28987447

Factors of 5381

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

1, 5381

Factors of 5387

List of positive integer factors of 5387 that divides 5387 without a remainder.

1, 5387

Least Common Multiple of 5381 and 5387 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 5387, than apply into the LCM equation.

GCF(5381,5387) = 1
LCM(5381,5387) = ( 5381 × 5387) / 1
LCM(5381,5387) = 28987447 / 1
LCM(5381,5387) = 28987447

Properties of LCM 5381 and 5387

(i) The LCM of 5387 and 5381 is associative

LCM of 5381 and 5387 = LCM of 5387 and 5381

Related Least Common Multiples of 5381

Related Least Common Multiples of 5387

Frequently Asked Questions on LCM of 5381 and 5387

1. What is the LCM of 5381 and 5387?

Answer: LCM of 5381 and 5387 is 28987447.

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 5387?

Answer: Factors of 5387 are 1, 5387. There are 2 integers that are factors of 5387. The greatest factor of 5387 is 5387.

4. How to Find the LCM of 5381 and 5387?

Answer:

Least Common Multiple of 5381 and 5387 = 28987447

Step 1: Find the prime factorization of 5381

5381 = 5381

Step 2: Find the prime factorization of 5387

5387 = 5387

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

LCM = 28987447 = 5381 x 5387

Step 4: Therefore, the least common multiple of 5381 and 5387 is 28987447.