Least Common Multiple of 5383 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 5383 and 5386 the smallest integer that is 28992838 that is divisible by both numbers.

Least Common Multiple (LCM) of 5383 and 5386 is 28992838.

LCM(5383,5386) = 28992838

LCM of 5383 and 5386

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

LCM of:
and

Least Common Multiple of 5383 and 5386

LCM of 5383 and 5386 is 28992838

Least common multiple can be found by multiplying the highest exponent prime factors of 5383 and 5386. First we will calculate the prime factors of 5383 and 5386.

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

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 5383 and 5386.

LCM(5383,5386) = 21×71×7691×26931
LCM(5383,5386) = 28992838

Factors of 5383

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

1, 7, 769, 5383

Factors of 5386

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

1, 2, 2693, 5386

Least Common Multiple of 5383 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 5383 and 5386, than apply into the LCM equation.

GCF(5383,5386) = 1
LCM(5383,5386) = ( 5383 × 5386) / 1
LCM(5383,5386) = 28992838 / 1
LCM(5383,5386) = 28992838

Properties of LCM 5383 and 5386

(i) The LCM of 5386 and 5383 is associative

LCM of 5383 and 5386 = LCM of 5386 and 5383

Related Least Common Multiples of 5383

Related Least Common Multiples of 5386

Frequently Asked Questions on LCM of 5383 and 5386

1. What is the LCM of 5383 and 5386?

Answer: LCM of 5383 and 5386 is 28992838.

2. 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.

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 5383 and 5386?

Answer:

Least Common Multiple of 5383 and 5386 = 28992838

Step 1: Find the prime factorization of 5383

5383 = 7 x 769

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 = 28992838 = 2 x 7 x 769 x 2693

Step 4: Therefore, the least common multiple of 5383 and 5386 is 28992838.