Least Common Multiple of 5383 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 5383 and 5384 the smallest integer that is 28982072 that is divisible by both numbers.

Least Common Multiple (LCM) of 5383 and 5384 is 28982072.

LCM(5383,5384) = 28982072

LCM of 5383 and 5384

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

LCM of:
and

Least Common Multiple of 5383 and 5384

LCM of 5383 and 5384 is 28982072

Least common multiple can be found by multiplying the highest exponent prime factors of 5383 and 5384. First we will calculate the prime factors of 5383 and 5384.

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 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 5383 and 5384.

LCM(5383,5384) = 23×71×6731×7691
LCM(5383,5384) = 28982072

Factors of 5383

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

1, 7, 769, 5383

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 5383 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 5383 and 5384, than apply into the LCM equation.

GCF(5383,5384) = 1
LCM(5383,5384) = ( 5383 × 5384) / 1
LCM(5383,5384) = 28982072 / 1
LCM(5383,5384) = 28982072

Properties of LCM 5383 and 5384

(i) The LCM of 5384 and 5383 is associative

LCM of 5383 and 5384 = LCM of 5384 and 5383

Related Least Common Multiples of 5383

Related Least Common Multiples of 5384

Frequently Asked Questions on LCM of 5383 and 5384

1. What is the LCM of 5383 and 5384?

Answer: LCM of 5383 and 5384 is 28982072.

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 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 5383 and 5384?

Answer:

Least Common Multiple of 5383 and 5384 = 28982072

Step 1: Find the prime factorization of 5383

5383 = 7 x 769

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 = 28982072 = 2 x 2 x 2 x 7 x 673 x 769

Step 4: Therefore, the least common multiple of 5383 and 5384 is 28982072.