Least Common Multiple of 5293 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 5293 and 5297 the smallest integer that is 28037021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5293 and 5297 is 28037021.

LCM(5293,5297) = 28037021

LCM of 5293 and 5297

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

LCM of:
and

Least Common Multiple of 5293 and 5297

LCM of 5293 and 5297 is 28037021

Least common multiple can be found by multiplying the highest exponent prime factors of 5293 and 5297. First we will calculate the prime factors of 5293 and 5297.

Prime Factorization of 5293


67 5293
79 79
1

Prime factors of 5293 are 67,79. Prime factorization of 5293 in exponential form is:

5293 = 671×791

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 5293 and 5297.

LCM(5293,5297) = 671×791×52971
LCM(5293,5297) = 28037021

Factors of 5293

List of positive integer factors of 5293 that divides 5293 without a remainder.

1, 67, 79, 5293

Factors of 5297

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

1, 5297

Least Common Multiple of 5293 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 5293 and 5297, than apply into the LCM equation.

GCF(5293,5297) = 1
LCM(5293,5297) = ( 5293 × 5297) / 1
LCM(5293,5297) = 28037021 / 1
LCM(5293,5297) = 28037021

Properties of LCM 5293 and 5297

(i) The LCM of 5297 and 5293 is associative

LCM of 5293 and 5297 = LCM of 5297 and 5293

Related Least Common Multiples of 5293

Related Least Common Multiples of 5297

Frequently Asked Questions on LCM of 5293 and 5297

1. What is the LCM of 5293 and 5297?

Answer: LCM of 5293 and 5297 is 28037021.

2. What are the Factors of 5293?

Answer: Factors of 5293 are 1, 67, 79, 5293. There are 4 integers that are factors of 5293. The greatest factor of 5293 is 5293.

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 5293 and 5297?

Answer:

Least Common Multiple of 5293 and 5297 = 28037021

Step 1: Find the prime factorization of 5293

5293 = 67 x 79

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 = 28037021 = 67 x 79 x 5297

Step 4: Therefore, the least common multiple of 5293 and 5297 is 28037021.