Least Common Multiple of 5284 and 5290

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 5290 the smallest integer that is 13976180 that is divisible by both numbers.

Least Common Multiple (LCM) of 5284 and 5290 is 13976180.

LCM(5284,5290) = 13976180

LCM of 5284 and 5290

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

LCM of:
and

Least Common Multiple of 5284 and 5290

LCM of 5284 and 5290 is 13976180

Least common multiple can be found by multiplying the highest exponent prime factors of 5284 and 5290. First we will calculate the prime factors of 5284 and 5290.

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 5290


2 5290
5 2645
23 529
23 23
1

Prime factors of 5290 are 2, 5,23. Prime factorization of 5290 in exponential form is:

5290 = 21×51×232

Now multiplying the highest exponent prime factors to calculate the LCM of 5284 and 5290.

LCM(5284,5290) = 22×51×232×13211
LCM(5284,5290) = 13976180

Factors of 5284

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

1, 2, 4, 1321, 2642, 5284

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

Least Common Multiple of 5284 and 5290 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 5290, than apply into the LCM equation.

GCF(5284,5290) = 2
LCM(5284,5290) = ( 5284 × 5290) / 2
LCM(5284,5290) = 27952360 / 2
LCM(5284,5290) = 13976180

Properties of LCM 5284 and 5290

(i) The LCM of 5290 and 5284 is associative

LCM of 5284 and 5290 = LCM of 5290 and 5284

Related Least Common Multiples of 5284

Related Least Common Multiples of 5290

Frequently Asked Questions on LCM of 5284 and 5290

1. What is the LCM of 5284 and 5290?

Answer: LCM of 5284 and 5290 is 13976180.

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 5290?

Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.

4. How to Find the LCM of 5284 and 5290?

Answer:

Least Common Multiple of 5284 and 5290 = 13976180

Step 1: Find the prime factorization of 5284

5284 = 2 x 2 x 1321

Step 2: Find the prime factorization of 5290

5290 = 2 x 5 x 23 x 23

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

LCM = 13976180 = 2 x 2 x 5 x 23 x 23 x 1321

Step 4: Therefore, the least common multiple of 5284 and 5290 is 13976180.