Least Common Multiple of 5300 and 5306

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 5306 the smallest integer that is 14060900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5300 and 5306 is 14060900.

LCM(5300,5306) = 14060900

LCM of 5300 and 5306

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

LCM of:
and

Least Common Multiple of 5300 and 5306

LCM of 5300 and 5306 is 14060900

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5306. First we will calculate the prime factors of 5300 and 5306.

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 5306


2 5306
7 2653
379 379
1

Prime factors of 5306 are 2, 7,379. Prime factorization of 5306 in exponential form is:

5306 = 21×71×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5306.

LCM(5300,5306) = 22×52×71×531×3791
LCM(5300,5306) = 14060900

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 5306

List of positive integer factors of 5306 that divides 5306 without a remainder.

1, 2, 7, 14, 379, 758, 2653, 5306

Least Common Multiple of 5300 and 5306 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 5306, than apply into the LCM equation.

GCF(5300,5306) = 2
LCM(5300,5306) = ( 5300 × 5306) / 2
LCM(5300,5306) = 28121800 / 2
LCM(5300,5306) = 14060900

Properties of LCM 5300 and 5306

(i) The LCM of 5306 and 5300 is associative

LCM of 5300 and 5306 = LCM of 5306 and 5300

Related Least Common Multiples of 5300

Related Least Common Multiples of 5306

Frequently Asked Questions on LCM of 5300 and 5306

1. What is the LCM of 5300 and 5306?

Answer: LCM of 5300 and 5306 is 14060900.

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 5306?

Answer: Factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306. There are 8 integers that are factors of 5306. The greatest factor of 5306 is 5306.

4. How to Find the LCM of 5300 and 5306?

Answer:

Least Common Multiple of 5300 and 5306 = 14060900

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 5306

5306 = 2 x 7 x 379

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

LCM = 14060900 = 2 x 2 x 5 x 5 x 7 x 53 x 379

Step 4: Therefore, the least common multiple of 5300 and 5306 is 14060900.