Least Common Multiple of 5392 and 5398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5392 and 5398 the smallest integer that is 14553008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5392 and 5398 is 14553008.

LCM(5392,5398) = 14553008

LCM of 5392 and 5398

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

LCM of:
and

Least Common Multiple of 5392 and 5398

LCM of 5392 and 5398 is 14553008

Least common multiple can be found by multiplying the highest exponent prime factors of 5392 and 5398. First we will calculate the prime factors of 5392 and 5398.

Prime Factorization of 5392


2 5392
2 2696
2 1348
2 674
337 337
1

Prime factors of 5392 are 2,337. Prime factorization of 5392 in exponential form is:

5392 = 24×3371

Prime Factorization of 5398


2 5398
2699 2699
1

Prime factors of 5398 are 2,2699. Prime factorization of 5398 in exponential form is:

5398 = 21×26991

Now multiplying the highest exponent prime factors to calculate the LCM of 5392 and 5398.

LCM(5392,5398) = 24×3371×26991
LCM(5392,5398) = 14553008

Factors of 5392

List of positive integer factors of 5392 that divides 5392 without a remainder.

1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1, 2, 2699, 5398

Least Common Multiple of 5392 and 5398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5392 and 5398, than apply into the LCM equation.

GCF(5392,5398) = 2
LCM(5392,5398) = ( 5392 × 5398) / 2
LCM(5392,5398) = 29106016 / 2
LCM(5392,5398) = 14553008

Properties of LCM 5392 and 5398

(i) The LCM of 5398 and 5392 is associative

LCM of 5392 and 5398 = LCM of 5398 and 5392

Related Least Common Multiples of 5392

Related Least Common Multiples of 5398

Frequently Asked Questions on LCM of 5392 and 5398

1. What is the LCM of 5392 and 5398?

Answer: LCM of 5392 and 5398 is 14553008.

2. What are the Factors of 5392?

Answer: Factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392. There are 10 integers that are factors of 5392. The greatest factor of 5392 is 5392.

3. What are the Factors of 5398?

Answer: Factors of 5398 are 1, 2, 2699, 5398. There are 4 integers that are factors of 5398. The greatest factor of 5398 is 5398.

4. How to Find the LCM of 5392 and 5398?

Answer:

Least Common Multiple of 5392 and 5398 = 14553008

Step 1: Find the prime factorization of 5392

5392 = 2 x 2 x 2 x 2 x 337

Step 2: Find the prime factorization of 5398

5398 = 2 x 2699

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

LCM = 14553008 = 2 x 2 x 2 x 2 x 337 x 2699

Step 4: Therefore, the least common multiple of 5392 and 5398 is 14553008.