Least Common Multiple of 10332 and 10336

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 10336 the smallest integer that is 26697888 that is divisible by both numbers.

Least Common Multiple (LCM) of 10332 and 10336 is 26697888.

LCM(10332,10336) = 26697888

LCM of 10332 and 10336

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

LCM of:
and

Least Common Multiple of 10332 and 10336

LCM of 10332 and 10336 is 26697888

Least common multiple can be found by multiplying the highest exponent prime factors of 10332 and 10336. First we will calculate the prime factors of 10332 and 10336.

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 10336


2 10336
2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 10336 are 2, 17,19. Prime factorization of 10336 in exponential form is:

10336 = 25×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 10332 and 10336.

LCM(10332,10336) = 25×32×71×171×191×411
LCM(10332,10336) = 26697888

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 10336

List of positive integer factors of 10336 that divides 10336 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336

Least Common Multiple of 10332 and 10336 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 10336, than apply into the LCM equation.

GCF(10332,10336) = 4
LCM(10332,10336) = ( 10332 × 10336) / 4
LCM(10332,10336) = 106791552 / 4
LCM(10332,10336) = 26697888

Properties of LCM 10332 and 10336

(i) The LCM of 10336 and 10332 is associative

LCM of 10332 and 10336 = LCM of 10336 and 10332

Related Least Common Multiples of 10332

Related Least Common Multiples of 10336

Frequently Asked Questions on LCM of 10332 and 10336

1. What is the LCM of 10332 and 10336?

Answer: LCM of 10332 and 10336 is 26697888.

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 10336?

Answer: Factors of 10336 are 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336. There are 24 integers that are factors of 10336. The greatest factor of 10336 is 10336.

4. How to Find the LCM of 10332 and 10336?

Answer:

Least Common Multiple of 10332 and 10336 = 26697888

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 10336

10336 = 2 x 2 x 2 x 2 x 2 x 17 x 19

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

LCM = 26697888 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 19 x 41

Step 4: Therefore, the least common multiple of 10332 and 10336 is 26697888.