Least Common Multiple of 8324 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 8324 and 8329 the smallest integer that is 69330596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8324 and 8329 is 69330596.

LCM(8324,8329) = 69330596

LCM of 8324 and 8329

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

LCM of:
and

Least Common Multiple of 8324 and 8329

LCM of 8324 and 8329 is 69330596

Least common multiple can be found by multiplying the highest exponent prime factors of 8324 and 8329. First we will calculate the prime factors of 8324 and 8329.

Prime Factorization of 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

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 8324 and 8329.

LCM(8324,8329) = 22×20811×83291
LCM(8324,8329) = 69330596

Factors of 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1, 2, 4, 2081, 4162, 8324

Factors of 8329

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

1, 8329

Least Common Multiple of 8324 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 8324 and 8329, than apply into the LCM equation.

GCF(8324,8329) = 1
LCM(8324,8329) = ( 8324 × 8329) / 1
LCM(8324,8329) = 69330596 / 1
LCM(8324,8329) = 69330596

Properties of LCM 8324 and 8329

(i) The LCM of 8329 and 8324 is associative

LCM of 8324 and 8329 = LCM of 8329 and 8324

Related Least Common Multiples of 8324

Related Least Common Multiples of 8329

Frequently Asked Questions on LCM of 8324 and 8329

1. What is the LCM of 8324 and 8329?

Answer: LCM of 8324 and 8329 is 69330596.

2. What are the Factors of 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

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 8324 and 8329?

Answer:

Least Common Multiple of 8324 and 8329 = 69330596

Step 1: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

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 = 69330596 = 2 x 2 x 2081 x 8329

Step 4: Therefore, the least common multiple of 8324 and 8329 is 69330596.