Least Common Multiple of 5391 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 5391 and 5398 the smallest integer that is 29100618 that is divisible by both numbers.

Least Common Multiple (LCM) of 5391 and 5398 is 29100618.

LCM(5391,5398) = 29100618

LCM of 5391 and 5398

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

LCM of:
and

Least Common Multiple of 5391 and 5398

LCM of 5391 and 5398 is 29100618

Least common multiple can be found by multiplying the highest exponent prime factors of 5391 and 5398. First we will calculate the prime factors of 5391 and 5398.

Prime Factorization of 5391


3 5391
3 1797
599 599
1

Prime factors of 5391 are 3,599. Prime factorization of 5391 in exponential form is:

5391 = 32×5991

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 5391 and 5398.

LCM(5391,5398) = 21×32×5991×26991
LCM(5391,5398) = 29100618

Factors of 5391

List of positive integer factors of 5391 that divides 5391 without a remainder.

1, 3, 9, 599, 1797, 5391

Factors of 5398

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

1, 2, 2699, 5398

Least Common Multiple of 5391 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 5391 and 5398, than apply into the LCM equation.

GCF(5391,5398) = 1
LCM(5391,5398) = ( 5391 × 5398) / 1
LCM(5391,5398) = 29100618 / 1
LCM(5391,5398) = 29100618

Properties of LCM 5391 and 5398

(i) The LCM of 5398 and 5391 is associative

LCM of 5391 and 5398 = LCM of 5398 and 5391

Related Least Common Multiples of 5391

Related Least Common Multiples of 5398

Frequently Asked Questions on LCM of 5391 and 5398

1. What is the LCM of 5391 and 5398?

Answer: LCM of 5391 and 5398 is 29100618.

2. What are the Factors of 5391?

Answer: Factors of 5391 are 1, 3, 9, 599, 1797, 5391. There are 6 integers that are factors of 5391. The greatest factor of 5391 is 5391.

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 5391 and 5398?

Answer:

Least Common Multiple of 5391 and 5398 = 29100618

Step 1: Find the prime factorization of 5391

5391 = 3 x 3 x 599

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 = 29100618 = 2 x 3 x 3 x 599 x 2699

Step 4: Therefore, the least common multiple of 5391 and 5398 is 29100618.