Least Common Multiple of 5307 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 5307 and 5313 the smallest integer that is 9398697 that is divisible by both numbers.

Least Common Multiple (LCM) of 5307 and 5313 is 9398697.

LCM(5307,5313) = 9398697

LCM of 5307 and 5313

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

LCM of:
and

Least Common Multiple of 5307 and 5313

LCM of 5307 and 5313 is 9398697

Least common multiple can be found by multiplying the highest exponent prime factors of 5307 and 5313. First we will calculate the prime factors of 5307 and 5313.

Prime Factorization of 5307


3 5307
29 1769
61 61
1

Prime factors of 5307 are 3, 29,61. Prime factorization of 5307 in exponential form is:

5307 = 31×291×611

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 5307 and 5313.

LCM(5307,5313) = 31×71×111×231×291×611
LCM(5307,5313) = 9398697

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1, 3, 29, 61, 87, 183, 1769, 5307

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 5307 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 5307 and 5313, than apply into the LCM equation.

GCF(5307,5313) = 3
LCM(5307,5313) = ( 5307 × 5313) / 3
LCM(5307,5313) = 28196091 / 3
LCM(5307,5313) = 9398697

Properties of LCM 5307 and 5313

(i) The LCM of 5313 and 5307 is associative

LCM of 5307 and 5313 = LCM of 5313 and 5307

Related Least Common Multiples of 5307

Related Least Common Multiples of 5313

Frequently Asked Questions on LCM of 5307 and 5313

1. What is the LCM of 5307 and 5313?

Answer: LCM of 5307 and 5313 is 9398697.

2. What are the Factors of 5307?

Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.

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 5307 and 5313?

Answer:

Least Common Multiple of 5307 and 5313 = 9398697

Step 1: Find the prime factorization of 5307

5307 = 3 x 29 x 61

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 = 9398697 = 3 x 7 x 11 x 23 x 29 x 61

Step 4: Therefore, the least common multiple of 5307 and 5313 is 9398697.