Least Common Multiple of 5300 and 5303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5300 and 5303 the smallest integer that is 28105900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5300 and 5303 is 28105900.

LCM(5300,5303) = 28105900

LCM of 5300 and 5303

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

LCM of:
and

Least Common Multiple of 5300 and 5303

LCM of 5300 and 5303 is 28105900

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5303. First we will calculate the prime factors of 5300 and 5303.

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

Prime Factorization of 5303


5303 5303
1

Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:

5303 = 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5303.

LCM(5300,5303) = 22×52×531×53031
LCM(5300,5303) = 28105900

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

Factors of 5303

List of positive integer factors of 5303 that divides 5303 without a remainder.

1, 5303

Least Common Multiple of 5300 and 5303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5300 and 5303, than apply into the LCM equation.

GCF(5300,5303) = 1
LCM(5300,5303) = ( 5300 × 5303) / 1
LCM(5300,5303) = 28105900 / 1
LCM(5300,5303) = 28105900

Properties of LCM 5300 and 5303

(i) The LCM of 5303 and 5300 is associative

LCM of 5300 and 5303 = LCM of 5303 and 5300

Related Least Common Multiples of 5300

Related Least Common Multiples of 5303

Frequently Asked Questions on LCM of 5300 and 5303

1. What is the LCM of 5300 and 5303?

Answer: LCM of 5300 and 5303 is 28105900.

2. 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.

3. What are the Factors of 5303?

Answer: Factors of 5303 are 1, 5303. There are 2 integers that are factors of 5303. The greatest factor of 5303 is 5303.

4. How to Find the LCM of 5300 and 5303?

Answer:

Least Common Multiple of 5300 and 5303 = 28105900

Step 1: Find the prime factorization of 5300

5300 = 2 x 2 x 5 x 5 x 53

Step 2: Find the prime factorization of 5303

5303 = 5303

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

LCM = 28105900 = 2 x 2 x 5 x 5 x 53 x 5303

Step 4: Therefore, the least common multiple of 5300 and 5303 is 28105900.