Least Common Multiple of 5300 and 5301

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 5301 the smallest integer that is 28095300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5300 and 5301 is 28095300.

LCM(5300,5301) = 28095300

LCM of 5300 and 5301

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

LCM of:
and

Least Common Multiple of 5300 and 5301

LCM of 5300 and 5301 is 28095300

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5301. First we will calculate the prime factors of 5300 and 5301.

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 5301


3 5301
3 1767
19 589
31 31
1

Prime factors of 5301 are 3, 19,31. Prime factorization of 5301 in exponential form is:

5301 = 32×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5301.

LCM(5300,5301) = 22×32×52×191×311×531
LCM(5300,5301) = 28095300

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 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301

Least Common Multiple of 5300 and 5301 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 5301, than apply into the LCM equation.

GCF(5300,5301) = 1
LCM(5300,5301) = ( 5300 × 5301) / 1
LCM(5300,5301) = 28095300 / 1
LCM(5300,5301) = 28095300

Properties of LCM 5300 and 5301

(i) The LCM of 5301 and 5300 is associative

LCM of 5300 and 5301 = LCM of 5301 and 5300

Related Least Common Multiples of 5300

Related Least Common Multiples of 5301

Frequently Asked Questions on LCM of 5300 and 5301

1. What is the LCM of 5300 and 5301?

Answer: LCM of 5300 and 5301 is 28095300.

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 5301?

Answer: Factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301. There are 12 integers that are factors of 5301. The greatest factor of 5301 is 5301.

4. How to Find the LCM of 5300 and 5301?

Answer:

Least Common Multiple of 5300 and 5301 = 28095300

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 5301

5301 = 3 x 3 x 19 x 31

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

LCM = 28095300 = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 31 x 53

Step 4: Therefore, the least common multiple of 5300 and 5301 is 28095300.