Least Common Multiple of 8322 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 8322 and 8328 the smallest integer that is 11550936 that is divisible by both numbers.

Least Common Multiple (LCM) of 8322 and 8328 is 11550936.

LCM(8322,8328) = 11550936

LCM of 8322 and 8328

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

LCM of:
and

Least Common Multiple of 8322 and 8328

LCM of 8322 and 8328 is 11550936

Least common multiple can be found by multiplying the highest exponent prime factors of 8322 and 8328. First we will calculate the prime factors of 8322 and 8328.

Prime Factorization of 8322


2 8322
3 4161
19 1387
73 73
1

Prime factors of 8322 are 2, 3, 19,73. Prime factorization of 8322 in exponential form is:

8322 = 21×31×191×731

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 8322 and 8328.

LCM(8322,8328) = 23×31×191×731×3471
LCM(8322,8328) = 11550936

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322

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 8322 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 8322 and 8328, than apply into the LCM equation.

GCF(8322,8328) = 6
LCM(8322,8328) = ( 8322 × 8328) / 6
LCM(8322,8328) = 69305616 / 6
LCM(8322,8328) = 11550936

Properties of LCM 8322 and 8328

(i) The LCM of 8328 and 8322 is associative

LCM of 8322 and 8328 = LCM of 8328 and 8322

Related Least Common Multiples of 8322

Related Least Common Multiples of 8328

Frequently Asked Questions on LCM of 8322 and 8328

1. What is the LCM of 8322 and 8328?

Answer: LCM of 8322 and 8328 is 11550936.

2. What are the Factors of 8322?

Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.

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 8322 and 8328?

Answer:

Least Common Multiple of 8322 and 8328 = 11550936

Step 1: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

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 = 11550936 = 2 x 2 x 2 x 3 x 19 x 73 x 347

Step 4: Therefore, the least common multiple of 8322 and 8328 is 11550936.