Least Common Multiple of 5392 and 5397

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 5397 the smallest integer that is 29100624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5392 and 5397 is 29100624.

LCM(5392,5397) = 29100624

LCM of 5392 and 5397

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

LCM of:
and

Least Common Multiple of 5392 and 5397

LCM of 5392 and 5397 is 29100624

Least common multiple can be found by multiplying the highest exponent prime factors of 5392 and 5397. First we will calculate the prime factors of 5392 and 5397.

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 5397


3 5397
7 1799
257 257
1

Prime factors of 5397 are 3, 7,257. Prime factorization of 5397 in exponential form is:

5397 = 31×71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 5392 and 5397.

LCM(5392,5397) = 24×31×71×2571×3371
LCM(5392,5397) = 29100624

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 5397

List of positive integer factors of 5397 that divides 5397 without a remainder.

1, 3, 7, 21, 257, 771, 1799, 5397

Least Common Multiple of 5392 and 5397 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 5397, than apply into the LCM equation.

GCF(5392,5397) = 1
LCM(5392,5397) = ( 5392 × 5397) / 1
LCM(5392,5397) = 29100624 / 1
LCM(5392,5397) = 29100624

Properties of LCM 5392 and 5397

(i) The LCM of 5397 and 5392 is associative

LCM of 5392 and 5397 = LCM of 5397 and 5392

Related Least Common Multiples of 5392

Related Least Common Multiples of 5397

Frequently Asked Questions on LCM of 5392 and 5397

1. What is the LCM of 5392 and 5397?

Answer: LCM of 5392 and 5397 is 29100624.

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 5397?

Answer: Factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397. There are 8 integers that are factors of 5397. The greatest factor of 5397 is 5397.

4. How to Find the LCM of 5392 and 5397?

Answer:

Least Common Multiple of 5392 and 5397 = 29100624

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 5397

5397 = 3 x 7 x 257

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

LCM = 29100624 = 2 x 2 x 2 x 2 x 3 x 7 x 257 x 337

Step 4: Therefore, the least common multiple of 5392 and 5397 is 29100624.