Least Common Multiple of 5329 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 5329 and 5336 the smallest integer that is 28435544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5329 and 5336 is 28435544.

LCM(5329,5336) = 28435544

LCM of 5329 and 5336

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

LCM of:
and

Least Common Multiple of 5329 and 5336

LCM of 5329 and 5336 is 28435544

Least common multiple can be found by multiplying the highest exponent prime factors of 5329 and 5336. First we will calculate the prime factors of 5329 and 5336.

Prime Factorization of 5329


73 5329
73 73
1

Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:

5329 = 732

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 5329 and 5336.

LCM(5329,5336) = 23×231×291×732
LCM(5329,5336) = 28435544

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1, 73, 5329

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 5329 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 5329 and 5336, than apply into the LCM equation.

GCF(5329,5336) = 1
LCM(5329,5336) = ( 5329 × 5336) / 1
LCM(5329,5336) = 28435544 / 1
LCM(5329,5336) = 28435544

Properties of LCM 5329 and 5336

(i) The LCM of 5336 and 5329 is associative

LCM of 5329 and 5336 = LCM of 5336 and 5329

Related Least Common Multiples of 5329

Related Least Common Multiples of 5336

Frequently Asked Questions on LCM of 5329 and 5336

1. What is the LCM of 5329 and 5336?

Answer: LCM of 5329 and 5336 is 28435544.

2. What are the Factors of 5329?

Answer: Factors of 5329 are 1, 73, 5329. There are 3 integers that are factors of 5329. The greatest factor of 5329 is 5329.

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 5329 and 5336?

Answer:

Least Common Multiple of 5329 and 5336 = 28435544

Step 1: Find the prime factorization of 5329

5329 = 73 x 73

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 = 28435544 = 2 x 2 x 2 x 23 x 29 x 73 x 73

Step 4: Therefore, the least common multiple of 5329 and 5336 is 28435544.