Least Common Multiple of 5300 and 5304

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 5304 the smallest integer that is 7027800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5300 and 5304 is 7027800.

LCM(5300,5304) = 7027800

LCM of 5300 and 5304

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

LCM of:
and

Least Common Multiple of 5300 and 5304

LCM of 5300 and 5304 is 7027800

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5304. First we will calculate the prime factors of 5300 and 5304.

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 5304


2 5304
2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 5304 are 2, 3, 13,17. Prime factorization of 5304 in exponential form is:

5304 = 23×31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5304.

LCM(5300,5304) = 23×31×52×131×171×531
LCM(5300,5304) = 7027800

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 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304

Least Common Multiple of 5300 and 5304 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 5304, than apply into the LCM equation.

GCF(5300,5304) = 4
LCM(5300,5304) = ( 5300 × 5304) / 4
LCM(5300,5304) = 28111200 / 4
LCM(5300,5304) = 7027800

Properties of LCM 5300 and 5304

(i) The LCM of 5304 and 5300 is associative

LCM of 5300 and 5304 = LCM of 5304 and 5300

Related Least Common Multiples of 5300

Related Least Common Multiples of 5304

Frequently Asked Questions on LCM of 5300 and 5304

1. What is the LCM of 5300 and 5304?

Answer: LCM of 5300 and 5304 is 7027800.

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 5304?

Answer: Factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. There are 32 integers that are factors of 5304. The greatest factor of 5304 is 5304.

4. How to Find the LCM of 5300 and 5304?

Answer:

Least Common Multiple of 5300 and 5304 = 7027800

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 5304

5304 = 2 x 2 x 2 x 3 x 13 x 17

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

LCM = 7027800 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 17 x 53

Step 4: Therefore, the least common multiple of 5300 and 5304 is 7027800.