Least Common Multiple of 8316 and 8323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8316 and 8323 the smallest integer that is 9887724 that is divisible by both numbers.

Least Common Multiple (LCM) of 8316 and 8323 is 9887724.

LCM(8316,8323) = 9887724

LCM of 8316 and 8323

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

LCM of:
and

Least Common Multiple of 8316 and 8323

LCM of 8316 and 8323 is 9887724

Least common multiple can be found by multiplying the highest exponent prime factors of 8316 and 8323. First we will calculate the prime factors of 8316 and 8323.

Prime Factorization of 8316


2 8316
2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 8316 are 2, 3, 7,11. Prime factorization of 8316 in exponential form is:

8316 = 22×33×71×111

Prime Factorization of 8323


7 8323
29 1189
41 41
1

Prime factors of 8323 are 7, 29,41. Prime factorization of 8323 in exponential form is:

8323 = 71×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8316 and 8323.

LCM(8316,8323) = 22×33×71×111×291×411
LCM(8316,8323) = 9887724

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316

Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1, 7, 29, 41, 203, 287, 1189, 8323

Least Common Multiple of 8316 and 8323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8316 and 8323, than apply into the LCM equation.

GCF(8316,8323) = 7
LCM(8316,8323) = ( 8316 × 8323) / 7
LCM(8316,8323) = 69214068 / 7
LCM(8316,8323) = 9887724

Properties of LCM 8316 and 8323

(i) The LCM of 8323 and 8316 is associative

LCM of 8316 and 8323 = LCM of 8323 and 8316

Related Least Common Multiples of 8316

Related Least Common Multiples of 8323

Frequently Asked Questions on LCM of 8316 and 8323

1. What is the LCM of 8316 and 8323?

Answer: LCM of 8316 and 8323 is 9887724.

2. What are the Factors of 8316?

Answer: Factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316. There are 48 integers that are factors of 8316. The greatest factor of 8316 is 8316.

3. What are the Factors of 8323?

Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.

4. How to Find the LCM of 8316 and 8323?

Answer:

Least Common Multiple of 8316 and 8323 = 9887724

Step 1: Find the prime factorization of 8316

8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 8323

8323 = 7 x 29 x 41

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

LCM = 9887724 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 29 x 41

Step 4: Therefore, the least common multiple of 8316 and 8323 is 9887724.