Least Common Multiple of 8324 and 8328

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 8328 the smallest integer that is 17330568 that is divisible by both numbers.

Least Common Multiple (LCM) of 8324 and 8328 is 17330568.

LCM(8324,8328) = 17330568

LCM of 8324 and 8328

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

LCM of:
and

Least Common Multiple of 8324 and 8328

LCM of 8324 and 8328 is 17330568

Least common multiple can be found by multiplying the highest exponent prime factors of 8324 and 8328. First we will calculate the prime factors of 8324 and 8328.

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 8328


2 8328
2 4164
2 2082
3 1041
347 347
1

Prime factors of 8328 are 2, 3,347. Prime factorization of 8328 in exponential form is:

8328 = 23×31×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 8324 and 8328.

LCM(8324,8328) = 23×31×3471×20811
LCM(8324,8328) = 17330568

Factors of 8324

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

1, 2, 4, 2081, 4162, 8324

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328

Least Common Multiple of 8324 and 8328 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 8328, than apply into the LCM equation.

GCF(8324,8328) = 4
LCM(8324,8328) = ( 8324 × 8328) / 4
LCM(8324,8328) = 69322272 / 4
LCM(8324,8328) = 17330568

Properties of LCM 8324 and 8328

(i) The LCM of 8328 and 8324 is associative

LCM of 8324 and 8328 = LCM of 8328 and 8324

Related Least Common Multiples of 8324

Related Least Common Multiples of 8328

Frequently Asked Questions on LCM of 8324 and 8328

1. What is the LCM of 8324 and 8328?

Answer: LCM of 8324 and 8328 is 17330568.

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 8328?

Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.

4. How to Find the LCM of 8324 and 8328?

Answer:

Least Common Multiple of 8324 and 8328 = 17330568

Step 1: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

Step 2: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

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

LCM = 17330568 = 2 x 2 x 2 x 3 x 347 x 2081

Step 4: Therefore, the least common multiple of 8324 and 8328 is 17330568.