Least Common Multiple of 5388 and 5389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5388 and 5389 the smallest integer that is 29035932 that is divisible by both numbers.

Least Common Multiple (LCM) of 5388 and 5389 is 29035932.

LCM(5388,5389) = 29035932

LCM of 5388 and 5389

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

LCM of:
and

Least Common Multiple of 5388 and 5389

LCM of 5388 and 5389 is 29035932

Least common multiple can be found by multiplying the highest exponent prime factors of 5388 and 5389. First we will calculate the prime factors of 5388 and 5389.

Prime Factorization of 5388


2 5388
2 2694
3 1347
449 449
1

Prime factors of 5388 are 2, 3,449. Prime factorization of 5388 in exponential form is:

5388 = 22×31×4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5388 and 5389.

LCM(5388,5389) = 22×31×171×3171×4491
LCM(5388,5389) = 29035932

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

Factors of 5389

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

1, 17, 317, 5389

Least Common Multiple of 5388 and 5389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5388 and 5389, than apply into the LCM equation.

GCF(5388,5389) = 1
LCM(5388,5389) = ( 5388 × 5389) / 1
LCM(5388,5389) = 29035932 / 1
LCM(5388,5389) = 29035932

Properties of LCM 5388 and 5389

(i) The LCM of 5389 and 5388 is associative

LCM of 5388 and 5389 = LCM of 5389 and 5388

Related Least Common Multiples of 5388

Related Least Common Multiples of 5389

Frequently Asked Questions on LCM of 5388 and 5389

1. What is the LCM of 5388 and 5389?

Answer: LCM of 5388 and 5389 is 29035932.

2. What are the Factors of 5388?

Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.

3. 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.

4. How to Find the LCM of 5388 and 5389?

Answer:

Least Common Multiple of 5388 and 5389 = 29035932

Step 1: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

Step 2: Find the prime factorization of 5389

5389 = 17 x 317

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

LCM = 29035932 = 2 x 2 x 3 x 17 x 317 x 449

Step 4: Therefore, the least common multiple of 5388 and 5389 is 29035932.