Least Common Multiple of 8328 and 8334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8328 and 8334 the smallest integer that is 11567592 that is divisible by both numbers.

Least Common Multiple (LCM) of 8328 and 8334 is 11567592.

LCM(8328,8334) = 11567592

LCM of 8328 and 8334

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

LCM of:
and

Least Common Multiple of 8328 and 8334

LCM of 8328 and 8334 is 11567592

Least common multiple can be found by multiplying the highest exponent prime factors of 8328 and 8334. First we will calculate the prime factors of 8328 and 8334.

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

Prime Factorization of 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2, 3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 8328 and 8334.

LCM(8328,8334) = 23×32×3471×4631
LCM(8328,8334) = 11567592

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

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

Least Common Multiple of 8328 and 8334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8328 and 8334, than apply into the LCM equation.

GCF(8328,8334) = 6
LCM(8328,8334) = ( 8328 × 8334) / 6
LCM(8328,8334) = 69405552 / 6
LCM(8328,8334) = 11567592

Properties of LCM 8328 and 8334

(i) The LCM of 8334 and 8328 is associative

LCM of 8328 and 8334 = LCM of 8334 and 8328

Related Least Common Multiples of 8328

Related Least Common Multiples of 8334

Frequently Asked Questions on LCM of 8328 and 8334

1. What is the LCM of 8328 and 8334?

Answer: LCM of 8328 and 8334 is 11567592.

2. 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.

3. What are the Factors of 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

4. How to Find the LCM of 8328 and 8334?

Answer:

Least Common Multiple of 8328 and 8334 = 11567592

Step 1: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

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

LCM = 11567592 = 2 x 2 x 2 x 3 x 3 x 347 x 463

Step 4: Therefore, the least common multiple of 8328 and 8334 is 11567592.