Least Common Multiple of 5291 and 5297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5291 and 5297 the smallest integer that is 28026427 that is divisible by both numbers.

Least Common Multiple (LCM) of 5291 and 5297 is 28026427.

LCM(5291,5297) = 28026427

LCM of 5291 and 5297

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

LCM of:
and

Least Common Multiple of 5291 and 5297

LCM of 5291 and 5297 is 28026427

Least common multiple can be found by multiplying the highest exponent prime factors of 5291 and 5297. First we will calculate the prime factors of 5291 and 5297.

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

Prime Factorization of 5297


5297 5297
1

Prime factors of 5297 are 5297. Prime factorization of 5297 in exponential form is:

5297 = 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 5291 and 5297.

LCM(5291,5297) = 111×131×371×52971
LCM(5291,5297) = 28026427

Factors of 5291

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

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

Factors of 5297

List of positive integer factors of 5297 that divides 5297 without a remainder.

1, 5297

Least Common Multiple of 5291 and 5297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5291 and 5297, than apply into the LCM equation.

GCF(5291,5297) = 1
LCM(5291,5297) = ( 5291 × 5297) / 1
LCM(5291,5297) = 28026427 / 1
LCM(5291,5297) = 28026427

Properties of LCM 5291 and 5297

(i) The LCM of 5297 and 5291 is associative

LCM of 5291 and 5297 = LCM of 5297 and 5291

Related Least Common Multiples of 5291

Related Least Common Multiples of 5297

Frequently Asked Questions on LCM of 5291 and 5297

1. What is the LCM of 5291 and 5297?

Answer: LCM of 5291 and 5297 is 28026427.

2. 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.

3. What are the Factors of 5297?

Answer: Factors of 5297 are 1, 5297. There are 2 integers that are factors of 5297. The greatest factor of 5297 is 5297.

4. How to Find the LCM of 5291 and 5297?

Answer:

Least Common Multiple of 5291 and 5297 = 28026427

Step 1: Find the prime factorization of 5291

5291 = 11 x 13 x 37

Step 2: Find the prime factorization of 5297

5297 = 5297

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

LCM = 28026427 = 11 x 13 x 37 x 5297

Step 4: Therefore, the least common multiple of 5291 and 5297 is 28026427.