Least Common Multiple of 5286 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 5286 and 5290 the smallest integer that is 13981470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5286 and 5290 is 13981470.

LCM(5286,5290) = 13981470

LCM of 5286 and 5290

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

LCM of:
and

Least Common Multiple of 5286 and 5290

LCM of 5286 and 5290 is 13981470

Least common multiple can be found by multiplying the highest exponent prime factors of 5286 and 5290. First we will calculate the prime factors of 5286 and 5290.

Prime Factorization of 5286


2 5286
3 2643
881 881
1

Prime factors of 5286 are 2, 3,881. Prime factorization of 5286 in exponential form is:

5286 = 21×31×8811

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 5286 and 5290.

LCM(5286,5290) = 21×31×51×232×8811
LCM(5286,5290) = 13981470

Factors of 5286

List of positive integer factors of 5286 that divides 5286 without a remainder.

1, 2, 3, 6, 881, 1762, 2643, 5286

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 5286 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 5286 and 5290, than apply into the LCM equation.

GCF(5286,5290) = 2
LCM(5286,5290) = ( 5286 × 5290) / 2
LCM(5286,5290) = 27962940 / 2
LCM(5286,5290) = 13981470

Properties of LCM 5286 and 5290

(i) The LCM of 5290 and 5286 is associative

LCM of 5286 and 5290 = LCM of 5290 and 5286

Related Least Common Multiples of 5286

Related Least Common Multiples of 5290

Frequently Asked Questions on LCM of 5286 and 5290

1. What is the LCM of 5286 and 5290?

Answer: LCM of 5286 and 5290 is 13981470.

2. What are the Factors of 5286?

Answer: Factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286. There are 8 integers that are factors of 5286. The greatest factor of 5286 is 5286.

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 5286 and 5290?

Answer:

Least Common Multiple of 5286 and 5290 = 13981470

Step 1: Find the prime factorization of 5286

5286 = 2 x 3 x 881

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 = 13981470 = 2 x 3 x 5 x 23 x 23 x 881

Step 4: Therefore, the least common multiple of 5286 and 5290 is 13981470.