Least Common Multiple of 7310 and 7317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7310 and 7317 the smallest integer that is 53487270 that is divisible by both numbers.

Least Common Multiple (LCM) of 7310 and 7317 is 53487270.

LCM(7310,7317) = 53487270

LCM of 7310 and 7317

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

LCM of:
and

Least Common Multiple of 7310 and 7317

LCM of 7310 and 7317 is 53487270

Least common multiple can be found by multiplying the highest exponent prime factors of 7310 and 7317. First we will calculate the prime factors of 7310 and 7317.

Prime Factorization of 7310


2 7310
5 3655
17 731
43 43
1

Prime factors of 7310 are 2, 5, 17,43. Prime factorization of 7310 in exponential form is:

7310 = 21×51×171×431

Prime Factorization of 7317


3 7317
3 2439
3 813
271 271
1

Prime factors of 7317 are 3,271. Prime factorization of 7317 in exponential form is:

7317 = 33×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7310 and 7317.

LCM(7310,7317) = 21×33×51×171×431×2711
LCM(7310,7317) = 53487270

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1, 3, 9, 27, 271, 813, 2439, 7317

Least Common Multiple of 7310 and 7317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7310 and 7317, than apply into the LCM equation.

GCF(7310,7317) = 1
LCM(7310,7317) = ( 7310 × 7317) / 1
LCM(7310,7317) = 53487270 / 1
LCM(7310,7317) = 53487270

Properties of LCM 7310 and 7317

(i) The LCM of 7317 and 7310 is associative

LCM of 7310 and 7317 = LCM of 7317 and 7310

Related Least Common Multiples of 7310

Related Least Common Multiples of 7317

Frequently Asked Questions on LCM of 7310 and 7317

1. What is the LCM of 7310 and 7317?

Answer: LCM of 7310 and 7317 is 53487270.

2. What are the Factors of 7310?

Answer: Factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310. There are 16 integers that are factors of 7310. The greatest factor of 7310 is 7310.

3. What are the Factors of 7317?

Answer: Factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317. There are 8 integers that are factors of 7317. The greatest factor of 7317 is 7317.

4. How to Find the LCM of 7310 and 7317?

Answer:

Least Common Multiple of 7310 and 7317 = 53487270

Step 1: Find the prime factorization of 7310

7310 = 2 x 5 x 17 x 43

Step 2: Find the prime factorization of 7317

7317 = 3 x 3 x 3 x 271

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

LCM = 53487270 = 2 x 3 x 3 x 3 x 5 x 17 x 43 x 271

Step 4: Therefore, the least common multiple of 7310 and 7317 is 53487270.