Least Common Multiple of 10328 and 10332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10328 and 10332 the smallest integer that is 26677224 that is divisible by both numbers.

Least Common Multiple (LCM) of 10328 and 10332 is 26677224.

LCM(10328,10332) = 26677224

LCM of 10328 and 10332

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

LCM of:
and

Least Common Multiple of 10328 and 10332

LCM of 10328 and 10332 is 26677224

Least common multiple can be found by multiplying the highest exponent prime factors of 10328 and 10332. First we will calculate the prime factors of 10328 and 10332.

Prime Factorization of 10328


2 10328
2 5164
2 2582
1291 1291
1

Prime factors of 10328 are 2,1291. Prime factorization of 10328 in exponential form is:

10328 = 23×12911

Prime Factorization of 10332


2 10332
2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 10332 are 2, 3, 7,41. Prime factorization of 10332 in exponential form is:

10332 = 22×32×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 10328 and 10332.

LCM(10328,10332) = 23×32×71×411×12911
LCM(10328,10332) = 26677224

Factors of 10328

List of positive integer factors of 10328 that divides 10328 without a remainder.

1, 2, 4, 8, 1291, 2582, 5164, 10328

Factors of 10332

List of positive integer factors of 10332 that divides 10332 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332

Least Common Multiple of 10328 and 10332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10328 and 10332, than apply into the LCM equation.

GCF(10328,10332) = 4
LCM(10328,10332) = ( 10328 × 10332) / 4
LCM(10328,10332) = 106708896 / 4
LCM(10328,10332) = 26677224

Properties of LCM 10328 and 10332

(i) The LCM of 10332 and 10328 is associative

LCM of 10328 and 10332 = LCM of 10332 and 10328

Related Least Common Multiples of 10328

Related Least Common Multiples of 10332

Frequently Asked Questions on LCM of 10328 and 10332

1. What is the LCM of 10328 and 10332?

Answer: LCM of 10328 and 10332 is 26677224.

2. What are the Factors of 10328?

Answer: Factors of 10328 are 1, 2, 4, 8, 1291, 2582, 5164, 10328. There are 8 integers that are factors of 10328. The greatest factor of 10328 is 10328.

3. What are the Factors of 10332?

Answer: Factors of 10332 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332. There are 36 integers that are factors of 10332. The greatest factor of 10332 is 10332.

4. How to Find the LCM of 10328 and 10332?

Answer:

Least Common Multiple of 10328 and 10332 = 26677224

Step 1: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

Step 2: Find the prime factorization of 10332

10332 = 2 x 2 x 3 x 3 x 7 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 = 26677224 = 2 x 2 x 2 x 3 x 3 x 7 x 41 x 1291

Step 4: Therefore, the least common multiple of 10328 and 10332 is 26677224.