Least Common Multiple of 5293 and 5300

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 5300 the smallest integer that is 28052900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5293 and 5300 is 28052900.

LCM(5293,5300) = 28052900

LCM of 5293 and 5300

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

LCM of:
and

Least Common Multiple of 5293 and 5300

LCM of 5293 and 5300 is 28052900

Least common multiple can be found by multiplying the highest exponent prime factors of 5293 and 5300. First we will calculate the prime factors of 5293 and 5300.

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 5300


2 5300
2 2650
5 1325
5 265
53 53
1

Prime factors of 5300 are 2, 5,53. Prime factorization of 5300 in exponential form is:

5300 = 22×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5293 and 5300.

LCM(5293,5300) = 22×52×531×671×791
LCM(5293,5300) = 28052900

Factors of 5293

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

1, 67, 79, 5293

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300

Least Common Multiple of 5293 and 5300 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 5300, than apply into the LCM equation.

GCF(5293,5300) = 1
LCM(5293,5300) = ( 5293 × 5300) / 1
LCM(5293,5300) = 28052900 / 1
LCM(5293,5300) = 28052900

Properties of LCM 5293 and 5300

(i) The LCM of 5300 and 5293 is associative

LCM of 5293 and 5300 = LCM of 5300 and 5293

Related Least Common Multiples of 5293

Related Least Common Multiples of 5300

Frequently Asked Questions on LCM of 5293 and 5300

1. What is the LCM of 5293 and 5300?

Answer: LCM of 5293 and 5300 is 28052900.

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 5300?

Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.

4. How to Find the LCM of 5293 and 5300?

Answer:

Least Common Multiple of 5293 and 5300 = 28052900

Step 1: Find the prime factorization of 5293

5293 = 67 x 79

Step 2: Find the prime factorization of 5300

5300 = 2 x 2 x 5 x 5 x 53

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

LCM = 28052900 = 2 x 2 x 5 x 5 x 53 x 67 x 79

Step 4: Therefore, the least common multiple of 5293 and 5300 is 28052900.