Least Common Multiple of 5309 and 5313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5309 and 5313 the smallest integer that is 28206717 that is divisible by both numbers.

Least Common Multiple (LCM) of 5309 and 5313 is 28206717.

LCM(5309,5313) = 28206717

LCM of 5309 and 5313

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

LCM of:
and

Least Common Multiple of 5309 and 5313

LCM of 5309 and 5313 is 28206717

Least common multiple can be found by multiplying the highest exponent prime factors of 5309 and 5313. First we will calculate the prime factors of 5309 and 5313.

Prime Factorization of 5309


5309 5309
1

Prime factors of 5309 are 5309. Prime factorization of 5309 in exponential form is:

5309 = 53091

Prime Factorization of 5313


3 5313
7 1771
11 253
23 23
1

Prime factors of 5313 are 3, 7, 11,23. Prime factorization of 5313 in exponential form is:

5313 = 31×71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5309 and 5313.

LCM(5309,5313) = 31×71×111×231×53091
LCM(5309,5313) = 28206717

Factors of 5309

List of positive integer factors of 5309 that divides 5309 without a remainder.

1, 5309

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313

Least Common Multiple of 5309 and 5313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5309 and 5313, than apply into the LCM equation.

GCF(5309,5313) = 1
LCM(5309,5313) = ( 5309 × 5313) / 1
LCM(5309,5313) = 28206717 / 1
LCM(5309,5313) = 28206717

Properties of LCM 5309 and 5313

(i) The LCM of 5313 and 5309 is associative

LCM of 5309 and 5313 = LCM of 5313 and 5309

Related Least Common Multiples of 5309

Related Least Common Multiples of 5313

Frequently Asked Questions on LCM of 5309 and 5313

1. What is the LCM of 5309 and 5313?

Answer: LCM of 5309 and 5313 is 28206717.

2. What are the Factors of 5309?

Answer: Factors of 5309 are 1, 5309. There are 2 integers that are factors of 5309. The greatest factor of 5309 is 5309.

3. What are the Factors of 5313?

Answer: Factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313. There are 16 integers that are factors of 5313. The greatest factor of 5313 is 5313.

4. How to Find the LCM of 5309 and 5313?

Answer:

Least Common Multiple of 5309 and 5313 = 28206717

Step 1: Find the prime factorization of 5309

5309 = 5309

Step 2: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

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

LCM = 28206717 = 3 x 7 x 11 x 23 x 5309

Step 4: Therefore, the least common multiple of 5309 and 5313 is 28206717.