Least Common Multiple of 5310 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 5310 and 5313 the smallest integer that is 9404010 that is divisible by both numbers.

Least Common Multiple (LCM) of 5310 and 5313 is 9404010.

LCM(5310,5313) = 9404010

LCM of 5310 and 5313

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

LCM of:
and

Least Common Multiple of 5310 and 5313

LCM of 5310 and 5313 is 9404010

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5313. First we will calculate the prime factors of 5310 and 5313.

Prime Factorization of 5310


2 5310
3 2655
3 885
5 295
59 59
1

Prime factors of 5310 are 2, 3, 5,59. Prime factorization of 5310 in exponential form is:

5310 = 21×32×51×591

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 5310 and 5313.

LCM(5310,5313) = 21×32×51×71×111×231×591
LCM(5310,5313) = 9404010

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310

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 5310 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 5310 and 5313, than apply into the LCM equation.

GCF(5310,5313) = 3
LCM(5310,5313) = ( 5310 × 5313) / 3
LCM(5310,5313) = 28212030 / 3
LCM(5310,5313) = 9404010

Properties of LCM 5310 and 5313

(i) The LCM of 5313 and 5310 is associative

LCM of 5310 and 5313 = LCM of 5313 and 5310

Related Least Common Multiples of 5310

Related Least Common Multiples of 5313

Frequently Asked Questions on LCM of 5310 and 5313

1. What is the LCM of 5310 and 5313?

Answer: LCM of 5310 and 5313 is 9404010.

2. What are the Factors of 5310?

Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.

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 5310 and 5313?

Answer:

Least Common Multiple of 5310 and 5313 = 9404010

Step 1: Find the prime factorization of 5310

5310 = 2 x 3 x 3 x 5 x 59

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 = 9404010 = 2 x 3 x 3 x 5 x 7 x 11 x 23 x 59

Step 4: Therefore, the least common multiple of 5310 and 5313 is 9404010.