Least Common Multiple of 5389 and 5396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5389 and 5396 the smallest integer that is 29079044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5389 and 5396 is 29079044.

LCM(5389,5396) = 29079044

LCM of 5389 and 5396

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

LCM of:
and

Least Common Multiple of 5389 and 5396

LCM of 5389 and 5396 is 29079044

Least common multiple can be found by multiplying the highest exponent prime factors of 5389 and 5396. First we will calculate the prime factors of 5389 and 5396.

Prime Factorization of 5389


17 5389
317 317
1

Prime factors of 5389 are 17,317. Prime factorization of 5389 in exponential form is:

5389 = 171×3171

Prime Factorization of 5396


2 5396
2 2698
19 1349
71 71
1

Prime factors of 5396 are 2, 19,71. Prime factorization of 5396 in exponential form is:

5396 = 22×191×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5389 and 5396.

LCM(5389,5396) = 22×171×191×711×3171
LCM(5389,5396) = 29079044

Factors of 5389

List of positive integer factors of 5389 that divides 5389 without a remainder.

1, 17, 317, 5389

Factors of 5396

List of positive integer factors of 5396 that divides 5396 without a remainder.

1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

Least Common Multiple of 5389 and 5396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5389 and 5396, than apply into the LCM equation.

GCF(5389,5396) = 1
LCM(5389,5396) = ( 5389 × 5396) / 1
LCM(5389,5396) = 29079044 / 1
LCM(5389,5396) = 29079044

Properties of LCM 5389 and 5396

(i) The LCM of 5396 and 5389 is associative

LCM of 5389 and 5396 = LCM of 5396 and 5389

Related Least Common Multiples of 5389

Related Least Common Multiples of 5396

Frequently Asked Questions on LCM of 5389 and 5396

1. What is the LCM of 5389 and 5396?

Answer: LCM of 5389 and 5396 is 29079044.

2. What are the Factors of 5389?

Answer: Factors of 5389 are 1, 17, 317, 5389. There are 4 integers that are factors of 5389. The greatest factor of 5389 is 5389.

3. What are the Factors of 5396?

Answer: Factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396. There are 12 integers that are factors of 5396. The greatest factor of 5396 is 5396.

4. How to Find the LCM of 5389 and 5396?

Answer:

Least Common Multiple of 5389 and 5396 = 29079044

Step 1: Find the prime factorization of 5389

5389 = 17 x 317

Step 2: Find the prime factorization of 5396

5396 = 2 x 2 x 19 x 71

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

LCM = 29079044 = 2 x 2 x 17 x 19 x 71 x 317

Step 4: Therefore, the least common multiple of 5389 and 5396 is 29079044.