Least Common Multiple of 8321 and 8329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8321 and 8329 the smallest integer that is 69305609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8321 and 8329 is 69305609.

LCM(8321,8329) = 69305609

LCM of 8321 and 8329

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

LCM of:
and

Least Common Multiple of 8321 and 8329

LCM of 8321 and 8329 is 69305609

Least common multiple can be found by multiplying the highest exponent prime factors of 8321 and 8329. First we will calculate the prime factors of 8321 and 8329.

Prime Factorization of 8321


53 8321
157 157
1

Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:

8321 = 531×1571

Prime Factorization of 8329


8329 8329
1

Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:

8329 = 83291

Now multiplying the highest exponent prime factors to calculate the LCM of 8321 and 8329.

LCM(8321,8329) = 531×1571×83291
LCM(8321,8329) = 69305609

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1, 53, 157, 8321

Factors of 8329

List of positive integer factors of 8329 that divides 8329 without a remainder.

1, 8329

Least Common Multiple of 8321 and 8329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8321 and 8329, than apply into the LCM equation.

GCF(8321,8329) = 1
LCM(8321,8329) = ( 8321 × 8329) / 1
LCM(8321,8329) = 69305609 / 1
LCM(8321,8329) = 69305609

Properties of LCM 8321 and 8329

(i) The LCM of 8329 and 8321 is associative

LCM of 8321 and 8329 = LCM of 8329 and 8321

Related Least Common Multiples of 8321

Related Least Common Multiples of 8329

Frequently Asked Questions on LCM of 8321 and 8329

1. What is the LCM of 8321 and 8329?

Answer: LCM of 8321 and 8329 is 69305609.

2. What are the Factors of 8321?

Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.

3. What are the Factors of 8329?

Answer: Factors of 8329 are 1, 8329. There are 2 integers that are factors of 8329. The greatest factor of 8329 is 8329.

4. How to Find the LCM of 8321 and 8329?

Answer:

Least Common Multiple of 8321 and 8329 = 69305609

Step 1: Find the prime factorization of 8321

8321 = 53 x 157

Step 2: Find the prime factorization of 8329

8329 = 8329

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

LCM = 69305609 = 53 x 157 x 8329

Step 4: Therefore, the least common multiple of 8321 and 8329 is 69305609.