Least Common Multiple of 5328 and 5336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5328 and 5336 the smallest integer that is 3553776 that is divisible by both numbers.

Least Common Multiple (LCM) of 5328 and 5336 is 3553776.

LCM(5328,5336) = 3553776

LCM of 5328 and 5336

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

LCM of:
and

Least Common Multiple of 5328 and 5336

LCM of 5328 and 5336 is 3553776

Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5336. First we will calculate the prime factors of 5328 and 5336.

Prime Factorization of 5328


2 5328
2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 5328 are 2, 3,37. Prime factorization of 5328 in exponential form is:

5328 = 24×32×371

Prime Factorization of 5336


2 5336
2 2668
2 1334
23 667
29 29
1

Prime factors of 5336 are 2, 23,29. Prime factorization of 5336 in exponential form is:

5336 = 23×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5328 and 5336.

LCM(5328,5336) = 24×32×231×291×371
LCM(5328,5336) = 3553776

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336

Least Common Multiple of 5328 and 5336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5328 and 5336, than apply into the LCM equation.

GCF(5328,5336) = 8
LCM(5328,5336) = ( 5328 × 5336) / 8
LCM(5328,5336) = 28430208 / 8
LCM(5328,5336) = 3553776

Properties of LCM 5328 and 5336

(i) The LCM of 5336 and 5328 is associative

LCM of 5328 and 5336 = LCM of 5336 and 5328

Frequently Asked Questions on LCM of 5328 and 5336

1. What is the LCM of 5328 and 5336?

Answer: LCM of 5328 and 5336 is 3553776.

2. What are the Factors of 5328?

Answer: Factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328. There are 30 integers that are factors of 5328. The greatest factor of 5328 is 5328.

3. What are the Factors of 5336?

Answer: Factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336. There are 16 integers that are factors of 5336. The greatest factor of 5336 is 5336.

4. How to Find the LCM of 5328 and 5336?

Answer:

Least Common Multiple of 5328 and 5336 = 3553776

Step 1: Find the prime factorization of 5328

5328 = 2 x 2 x 2 x 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

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

LCM = 3553776 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 29 x 37

Step 4: Therefore, the least common multiple of 5328 and 5336 is 3553776.