Least Common Multiple of 5321 and 5328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5321 and 5328 the smallest integer that is 28350288 that is divisible by both numbers.

Least Common Multiple (LCM) of 5321 and 5328 is 28350288.

LCM(5321,5328) = 28350288

LCM of 5321 and 5328

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

LCM of:
and

Least Common Multiple of 5321 and 5328

LCM of 5321 and 5328 is 28350288

Least common multiple can be found by multiplying the highest exponent prime factors of 5321 and 5328. First we will calculate the prime factors of 5321 and 5328.

Prime Factorization of 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5321 and 5328.

LCM(5321,5328) = 24×32×171×371×3131
LCM(5321,5328) = 28350288

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1, 17, 313, 5321

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

Least Common Multiple of 5321 and 5328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5321 and 5328, than apply into the LCM equation.

GCF(5321,5328) = 1
LCM(5321,5328) = ( 5321 × 5328) / 1
LCM(5321,5328) = 28350288 / 1
LCM(5321,5328) = 28350288

Properties of LCM 5321 and 5328

(i) The LCM of 5328 and 5321 is associative

LCM of 5321 and 5328 = LCM of 5328 and 5321

Related Least Common Multiples of 5321

Related Least Common Multiples of 5328

Frequently Asked Questions on LCM of 5321 and 5328

1. What is the LCM of 5321 and 5328?

Answer: LCM of 5321 and 5328 is 28350288.

2. What are the Factors of 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

3. 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.

4. How to Find the LCM of 5321 and 5328?

Answer:

Least Common Multiple of 5321 and 5328 = 28350288

Step 1: Find the prime factorization of 5321

5321 = 17 x 313

Step 2: Find the prime factorization of 5328

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

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

LCM = 28350288 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 37 x 313

Step 4: Therefore, the least common multiple of 5321 and 5328 is 28350288.