Least Common Multiple of 10332 and 10338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10332 and 10338 the smallest integer that is 17802036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10332 and 10338 is 17802036.

LCM(10332,10338) = 17802036

LCM of 10332 and 10338

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

LCM of:
and

Least Common Multiple of 10332 and 10338

LCM of 10332 and 10338 is 17802036

Least common multiple can be found by multiplying the highest exponent prime factors of 10332 and 10338. First we will calculate the prime factors of 10332 and 10338.

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

Prime Factorization of 10338


2 10338
3 5169
1723 1723
1

Prime factors of 10338 are 2, 3,1723. Prime factorization of 10338 in exponential form is:

10338 = 21×31×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 10332 and 10338.

LCM(10332,10338) = 22×32×71×411×17231
LCM(10332,10338) = 17802036

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

Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169, 10338

Least Common Multiple of 10332 and 10338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10332 and 10338, than apply into the LCM equation.

GCF(10332,10338) = 6
LCM(10332,10338) = ( 10332 × 10338) / 6
LCM(10332,10338) = 106812216 / 6
LCM(10332,10338) = 17802036

Properties of LCM 10332 and 10338

(i) The LCM of 10338 and 10332 is associative

LCM of 10332 and 10338 = LCM of 10338 and 10332

Related Least Common Multiples of 10332

Related Least Common Multiples of 10338

Frequently Asked Questions on LCM of 10332 and 10338

1. What is the LCM of 10332 and 10338?

Answer: LCM of 10332 and 10338 is 17802036.

2. 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.

3. What are the Factors of 10338?

Answer: Factors of 10338 are 1, 2, 3, 6, 1723, 3446, 5169, 10338. There are 8 integers that are factors of 10338. The greatest factor of 10338 is 10338.

4. How to Find the LCM of 10332 and 10338?

Answer:

Least Common Multiple of 10332 and 10338 = 17802036

Step 1: Find the prime factorization of 10332

10332 = 2 x 2 x 3 x 3 x 7 x 41

Step 2: Find the prime factorization of 10338

10338 = 2 x 3 x 1723

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

LCM = 17802036 = 2 x 2 x 3 x 3 x 7 x 41 x 1723

Step 4: Therefore, the least common multiple of 10332 and 10338 is 17802036.