Least Common Multiple of 5381 and 5386

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 5386 the smallest integer that is 28982066 that is divisible by both numbers.

Least Common Multiple (LCM) of 5381 and 5386 is 28982066.

LCM(5381,5386) = 28982066

LCM of 5381 and 5386

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

LCM of:
and

Least Common Multiple of 5381 and 5386

LCM of 5381 and 5386 is 28982066

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5386. First we will calculate the prime factors of 5381 and 5386.

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 5386


2 5386
2693 2693
1

Prime factors of 5386 are 2,2693. Prime factorization of 5386 in exponential form is:

5386 = 21×26931

Now multiplying the highest exponent prime factors to calculate the LCM of 5381 and 5386.

LCM(5381,5386) = 21×26931×53811
LCM(5381,5386) = 28982066

Factors of 5381

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

1, 5381

Factors of 5386

List of positive integer factors of 5386 that divides 5386 without a remainder.

1, 2, 2693, 5386

Least Common Multiple of 5381 and 5386 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 5386, than apply into the LCM equation.

GCF(5381,5386) = 1
LCM(5381,5386) = ( 5381 × 5386) / 1
LCM(5381,5386) = 28982066 / 1
LCM(5381,5386) = 28982066

Properties of LCM 5381 and 5386

(i) The LCM of 5386 and 5381 is associative

LCM of 5381 and 5386 = LCM of 5386 and 5381

Related Least Common Multiples of 5381

Related Least Common Multiples of 5386

Frequently Asked Questions on LCM of 5381 and 5386

1. What is the LCM of 5381 and 5386?

Answer: LCM of 5381 and 5386 is 28982066.

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 5386?

Answer: Factors of 5386 are 1, 2, 2693, 5386. There are 4 integers that are factors of 5386. The greatest factor of 5386 is 5386.

4. How to Find the LCM of 5381 and 5386?

Answer:

Least Common Multiple of 5381 and 5386 = 28982066

Step 1: Find the prime factorization of 5381

5381 = 5381

Step 2: Find the prime factorization of 5386

5386 = 2 x 2693

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

LCM = 28982066 = 2 x 2693 x 5381

Step 4: Therefore, the least common multiple of 5381 and 5386 is 28982066.