Least Common Multiple of 5287 and 5291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5287 and 5291 the smallest integer that is 27973517 that is divisible by both numbers.

Least Common Multiple (LCM) of 5287 and 5291 is 27973517.

LCM(5287,5291) = 27973517

LCM of 5287 and 5291

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

LCM of:
and

Least Common Multiple of 5287 and 5291

LCM of 5287 and 5291 is 27973517

Least common multiple can be found by multiplying the highest exponent prime factors of 5287 and 5291. First we will calculate the prime factors of 5287 and 5291.

Prime Factorization of 5287


17 5287
311 311
1

Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:

5287 = 171×3111

Prime Factorization of 5291


11 5291
13 481
37 37
1

Prime factors of 5291 are 11, 13,37. Prime factorization of 5291 in exponential form is:

5291 = 111×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5287 and 5291.

LCM(5287,5291) = 111×131×171×371×3111
LCM(5287,5291) = 27973517

Factors of 5287

List of positive integer factors of 5287 that divides 5287 without a remainder.

1, 17, 311, 5287

Factors of 5291

List of positive integer factors of 5291 that divides 5291 without a remainder.

1, 11, 13, 37, 143, 407, 481, 5291

Least Common Multiple of 5287 and 5291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5287 and 5291, than apply into the LCM equation.

GCF(5287,5291) = 1
LCM(5287,5291) = ( 5287 × 5291) / 1
LCM(5287,5291) = 27973517 / 1
LCM(5287,5291) = 27973517

Properties of LCM 5287 and 5291

(i) The LCM of 5291 and 5287 is associative

LCM of 5287 and 5291 = LCM of 5291 and 5287

Related Least Common Multiples of 5287

Related Least Common Multiples of 5291

Frequently Asked Questions on LCM of 5287 and 5291

1. What is the LCM of 5287 and 5291?

Answer: LCM of 5287 and 5291 is 27973517.

2. What are the Factors of 5287?

Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.

3. What are the Factors of 5291?

Answer: Factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291. There are 8 integers that are factors of 5291. The greatest factor of 5291 is 5291.

4. How to Find the LCM of 5287 and 5291?

Answer:

Least Common Multiple of 5287 and 5291 = 27973517

Step 1: Find the prime factorization of 5287

5287 = 17 x 311

Step 2: Find the prime factorization of 5291

5291 = 11 x 13 x 37

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

LCM = 27973517 = 11 x 13 x 17 x 37 x 311

Step 4: Therefore, the least common multiple of 5287 and 5291 is 27973517.