Least Common Multiple of 8328 and 8332

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 8332 the smallest integer that is 17347224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8328 and 8332 is 17347224.

LCM(8328,8332) = 17347224

LCM of 8328 and 8332

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

LCM of:
and

Least Common Multiple of 8328 and 8332

LCM of 8328 and 8332 is 17347224

Least common multiple can be found by multiplying the highest exponent prime factors of 8328 and 8332. First we will calculate the prime factors of 8328 and 8332.

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 8332


2 8332
2 4166
2083 2083
1

Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:

8332 = 22×20831

Now multiplying the highest exponent prime factors to calculate the LCM of 8328 and 8332.

LCM(8328,8332) = 23×31×3471×20831
LCM(8328,8332) = 17347224

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 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1, 2, 4, 2083, 4166, 8332

Least Common Multiple of 8328 and 8332 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 8332, than apply into the LCM equation.

GCF(8328,8332) = 4
LCM(8328,8332) = ( 8328 × 8332) / 4
LCM(8328,8332) = 69388896 / 4
LCM(8328,8332) = 17347224

Properties of LCM 8328 and 8332

(i) The LCM of 8332 and 8328 is associative

LCM of 8328 and 8332 = LCM of 8332 and 8328

Related Least Common Multiples of 8328

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8328 and 8332

1. What is the LCM of 8328 and 8332?

Answer: LCM of 8328 and 8332 is 17347224.

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 8332?

Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.

4. How to Find the LCM of 8328 and 8332?

Answer:

Least Common Multiple of 8328 and 8332 = 17347224

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 8332

8332 = 2 x 2 x 2083

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

LCM = 17347224 = 2 x 2 x 2 x 3 x 347 x 2083

Step 4: Therefore, the least common multiple of 8328 and 8332 is 17347224.