Least Common Multiple of 10328 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 10328 and 10336 the smallest integer that is 13343776 that is divisible by both numbers.

Least Common Multiple (LCM) of 10328 and 10336 is 13343776.

LCM(10328,10336) = 13343776

LCM of 10328 and 10336

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

LCM of:
and

Least Common Multiple of 10328 and 10336

LCM of 10328 and 10336 is 13343776

Least common multiple can be found by multiplying the highest exponent prime factors of 10328 and 10336. First we will calculate the prime factors of 10328 and 10336.

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 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 10328 and 10336.

LCM(10328,10336) = 25×171×191×12911
LCM(10328,10336) = 13343776

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 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 10328 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 10328 and 10336, than apply into the LCM equation.

GCF(10328,10336) = 8
LCM(10328,10336) = ( 10328 × 10336) / 8
LCM(10328,10336) = 106750208 / 8
LCM(10328,10336) = 13343776

Properties of LCM 10328 and 10336

(i) The LCM of 10336 and 10328 is associative

LCM of 10328 and 10336 = LCM of 10336 and 10328

Related Least Common Multiples of 10328

Related Least Common Multiples of 10336

Frequently Asked Questions on LCM of 10328 and 10336

1. What is the LCM of 10328 and 10336?

Answer: LCM of 10328 and 10336 is 13343776.

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 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 10328 and 10336?

Answer:

Least Common Multiple of 10328 and 10336 = 13343776

Step 1: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

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 = 13343776 = 2 x 2 x 2 x 2 x 2 x 17 x 19 x 1291

Step 4: Therefore, the least common multiple of 10328 and 10336 is 13343776.