Least Common Multiple of 5284 and 5289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5284 and 5289 the smallest integer that is 27947076 that is divisible by both numbers.

Least Common Multiple (LCM) of 5284 and 5289 is 27947076.

LCM(5284,5289) = 27947076

LCM of 5284 and 5289

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

LCM of:
and

Least Common Multiple of 5284 and 5289

LCM of 5284 and 5289 is 27947076

Least common multiple can be found by multiplying the highest exponent prime factors of 5284 and 5289. First we will calculate the prime factors of 5284 and 5289.

Prime Factorization of 5284


2 5284
2 2642
1321 1321
1

Prime factors of 5284 are 2,1321. Prime factorization of 5284 in exponential form is:

5284 = 22×13211

Prime Factorization of 5289


3 5289
41 1763
43 43
1

Prime factors of 5289 are 3, 41,43. Prime factorization of 5289 in exponential form is:

5289 = 31×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5284 and 5289.

LCM(5284,5289) = 22×31×411×431×13211
LCM(5284,5289) = 27947076

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1, 2, 4, 1321, 2642, 5284

Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1, 3, 41, 43, 123, 129, 1763, 5289

Least Common Multiple of 5284 and 5289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5284 and 5289, than apply into the LCM equation.

GCF(5284,5289) = 1
LCM(5284,5289) = ( 5284 × 5289) / 1
LCM(5284,5289) = 27947076 / 1
LCM(5284,5289) = 27947076

Properties of LCM 5284 and 5289

(i) The LCM of 5289 and 5284 is associative

LCM of 5284 and 5289 = LCM of 5289 and 5284

Related Least Common Multiples of 5284

Related Least Common Multiples of 5289

Frequently Asked Questions on LCM of 5284 and 5289

1. What is the LCM of 5284 and 5289?

Answer: LCM of 5284 and 5289 is 27947076.

2. What are the Factors of 5284?

Answer: Factors of 5284 are 1, 2, 4, 1321, 2642, 5284. There are 6 integers that are factors of 5284. The greatest factor of 5284 is 5284.

3. What are the Factors of 5289?

Answer: Factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289. There are 8 integers that are factors of 5289. The greatest factor of 5289 is 5289.

4. How to Find the LCM of 5284 and 5289?

Answer:

Least Common Multiple of 5284 and 5289 = 27947076

Step 1: Find the prime factorization of 5284

5284 = 2 x 2 x 1321

Step 2: Find the prime factorization of 5289

5289 = 3 x 41 x 43

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

LCM = 27947076 = 2 x 2 x 3 x 41 x 43 x 1321

Step 4: Therefore, the least common multiple of 5284 and 5289 is 27947076.