Least Common Multiple of 5310 and 5317

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 5317 the smallest integer that is 28233270 that is divisible by both numbers.

Least Common Multiple (LCM) of 5310 and 5317 is 28233270.

LCM(5310,5317) = 28233270

LCM of 5310 and 5317

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

LCM of:
and

Least Common Multiple of 5310 and 5317

LCM of 5310 and 5317 is 28233270

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5317. First we will calculate the prime factors of 5310 and 5317.

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 5317


13 5317
409 409
1

Prime factors of 5317 are 13,409. Prime factorization of 5317 in exponential form is:

5317 = 131×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5317.

LCM(5310,5317) = 21×32×51×131×591×4091
LCM(5310,5317) = 28233270

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 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1, 13, 409, 5317

Least Common Multiple of 5310 and 5317 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 5317, than apply into the LCM equation.

GCF(5310,5317) = 1
LCM(5310,5317) = ( 5310 × 5317) / 1
LCM(5310,5317) = 28233270 / 1
LCM(5310,5317) = 28233270

Properties of LCM 5310 and 5317

(i) The LCM of 5317 and 5310 is associative

LCM of 5310 and 5317 = LCM of 5317 and 5310

Related Least Common Multiples of 5310

Related Least Common Multiples of 5317

Frequently Asked Questions on LCM of 5310 and 5317

1. What is the LCM of 5310 and 5317?

Answer: LCM of 5310 and 5317 is 28233270.

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 5317?

Answer: Factors of 5317 are 1, 13, 409, 5317. There are 4 integers that are factors of 5317. The greatest factor of 5317 is 5317.

4. How to Find the LCM of 5310 and 5317?

Answer:

Least Common Multiple of 5310 and 5317 = 28233270

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 5317

5317 = 13 x 409

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

LCM = 28233270 = 2 x 3 x 3 x 5 x 13 x 59 x 409

Step 4: Therefore, the least common multiple of 5310 and 5317 is 28233270.