Least Common Multiple of 7309 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 7309 and 7317 the smallest integer that is 53479953 that is divisible by both numbers.

Least Common Multiple (LCM) of 7309 and 7317 is 53479953.

LCM(7309,7317) = 53479953

LCM of 7309 and 7317

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

LCM of:
and

Least Common Multiple of 7309 and 7317

LCM of 7309 and 7317 is 53479953

Least common multiple can be found by multiplying the highest exponent prime factors of 7309 and 7317. First we will calculate the prime factors of 7309 and 7317.

Prime Factorization of 7309


7309 7309
1

Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:

7309 = 73091

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 7309 and 7317.

LCM(7309,7317) = 33×2711×73091
LCM(7309,7317) = 53479953

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1, 7309

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 7309 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 7309 and 7317, than apply into the LCM equation.

GCF(7309,7317) = 1
LCM(7309,7317) = ( 7309 × 7317) / 1
LCM(7309,7317) = 53479953 / 1
LCM(7309,7317) = 53479953

Properties of LCM 7309 and 7317

(i) The LCM of 7317 and 7309 is associative

LCM of 7309 and 7317 = LCM of 7317 and 7309

Related Least Common Multiples of 7309

Related Least Common Multiples of 7317

Frequently Asked Questions on LCM of 7309 and 7317

1. What is the LCM of 7309 and 7317?

Answer: LCM of 7309 and 7317 is 53479953.

2. What are the Factors of 7309?

Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.

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 7309 and 7317?

Answer:

Least Common Multiple of 7309 and 7317 = 53479953

Step 1: Find the prime factorization of 7309

7309 = 7309

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 = 53479953 = 3 x 3 x 3 x 271 x 7309

Step 4: Therefore, the least common multiple of 7309 and 7317 is 53479953.