Least Common Multiple of 5381 and 5383

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 5383 the smallest integer that is 28965923 that is divisible by both numbers.

Least Common Multiple (LCM) of 5381 and 5383 is 28965923.

LCM(5381,5383) = 28965923

LCM of 5381 and 5383

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

LCM of:
and

Least Common Multiple of 5381 and 5383

LCM of 5381 and 5383 is 28965923

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5383. First we will calculate the prime factors of 5381 and 5383.

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 5383


7 5383
769 769
1

Prime factors of 5383 are 7,769. Prime factorization of 5383 in exponential form is:

5383 = 71×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 5381 and 5383.

LCM(5381,5383) = 71×7691×53811
LCM(5381,5383) = 28965923

Factors of 5381

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

1, 5381

Factors of 5383

List of positive integer factors of 5383 that divides 5383 without a remainder.

1, 7, 769, 5383

Least Common Multiple of 5381 and 5383 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 5383, than apply into the LCM equation.

GCF(5381,5383) = 1
LCM(5381,5383) = ( 5381 × 5383) / 1
LCM(5381,5383) = 28965923 / 1
LCM(5381,5383) = 28965923

Properties of LCM 5381 and 5383

(i) The LCM of 5383 and 5381 is associative

LCM of 5381 and 5383 = LCM of 5383 and 5381

Related Least Common Multiples of 5381

Related Least Common Multiples of 5383

Frequently Asked Questions on LCM of 5381 and 5383

1. What is the LCM of 5381 and 5383?

Answer: LCM of 5381 and 5383 is 28965923.

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 5383?

Answer: Factors of 5383 are 1, 7, 769, 5383. There are 4 integers that are factors of 5383. The greatest factor of 5383 is 5383.

4. How to Find the LCM of 5381 and 5383?

Answer:

Least Common Multiple of 5381 and 5383 = 28965923

Step 1: Find the prime factorization of 5381

5381 = 5381

Step 2: Find the prime factorization of 5383

5383 = 7 x 769

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

LCM = 28965923 = 7 x 769 x 5381

Step 4: Therefore, the least common multiple of 5381 and 5383 is 28965923.