Least Common Multiple of 7317 and 7321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7317 and 7321 the smallest integer that is 53567757 that is divisible by both numbers.

Least Common Multiple (LCM) of 7317 and 7321 is 53567757.

LCM(7317,7321) = 53567757

LCM of 7317 and 7321

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

LCM of:
and

Least Common Multiple of 7317 and 7321

LCM of 7317 and 7321 is 53567757

Least common multiple can be found by multiplying the highest exponent prime factors of 7317 and 7321. First we will calculate the prime factors of 7317 and 7321.

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

Prime Factorization of 7321


7321 7321
1

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

Now multiplying the highest exponent prime factors to calculate the LCM of 7317 and 7321.

LCM(7317,7321) = 33×2711×73211
LCM(7317,7321) = 53567757

Factors of 7317

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

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

Factors of 7321

List of positive integer factors of 7321 that divides 7321 without a remainder.

1, 7321

Least Common Multiple of 7317 and 7321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7317 and 7321, than apply into the LCM equation.

GCF(7317,7321) = 1
LCM(7317,7321) = ( 7317 × 7321) / 1
LCM(7317,7321) = 53567757 / 1
LCM(7317,7321) = 53567757

Properties of LCM 7317 and 7321

(i) The LCM of 7321 and 7317 is associative

LCM of 7317 and 7321 = LCM of 7321 and 7317

Related Least Common Multiples of 7317

Related Least Common Multiples of 7321

Frequently Asked Questions on LCM of 7317 and 7321

1. What is the LCM of 7317 and 7321?

Answer: LCM of 7317 and 7321 is 53567757.

2. 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.

3. What are the Factors of 7321?

Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.

4. How to Find the LCM of 7317 and 7321?

Answer:

Least Common Multiple of 7317 and 7321 = 53567757

Step 1: Find the prime factorization of 7317

7317 = 3 x 3 x 3 x 271

Step 2: Find the prime factorization of 7321

7321 = 7321

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

LCM = 53567757 = 3 x 3 x 3 x 271 x 7321

Step 4: Therefore, the least common multiple of 7317 and 7321 is 53567757.