Least Common Multiple of 5300 and 5305

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 5305 the smallest integer that is 5623300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5300 and 5305 is 5623300.

LCM(5300,5305) = 5623300

LCM of 5300 and 5305

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

LCM of:
and

Least Common Multiple of 5300 and 5305

LCM of 5300 and 5305 is 5623300

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5305. First we will calculate the prime factors of 5300 and 5305.

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 5305


5 5305
1061 1061
1

Prime factors of 5305 are 5,1061. Prime factorization of 5305 in exponential form is:

5305 = 51×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5305.

LCM(5300,5305) = 22×52×531×10611
LCM(5300,5305) = 5623300

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 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1, 5, 1061, 5305

Least Common Multiple of 5300 and 5305 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 5305, than apply into the LCM equation.

GCF(5300,5305) = 5
LCM(5300,5305) = ( 5300 × 5305) / 5
LCM(5300,5305) = 28116500 / 5
LCM(5300,5305) = 5623300

Properties of LCM 5300 and 5305

(i) The LCM of 5305 and 5300 is associative

LCM of 5300 and 5305 = LCM of 5305 and 5300

Related Least Common Multiples of 5300

Related Least Common Multiples of 5305

Frequently Asked Questions on LCM of 5300 and 5305

1. What is the LCM of 5300 and 5305?

Answer: LCM of 5300 and 5305 is 5623300.

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 5305?

Answer: Factors of 5305 are 1, 5, 1061, 5305. There are 4 integers that are factors of 5305. The greatest factor of 5305 is 5305.

4. How to Find the LCM of 5300 and 5305?

Answer:

Least Common Multiple of 5300 and 5305 = 5623300

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 5305

5305 = 5 x 1061

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

LCM = 5623300 = 2 x 2 x 5 x 5 x 53 x 1061

Step 4: Therefore, the least common multiple of 5300 and 5305 is 5623300.