Least Common Multiple of 5320 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 5320 and 5328 the smallest integer that is 3543120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5320 and 5328 is 3543120.

LCM(5320,5328) = 3543120

LCM of 5320 and 5328

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

LCM of:
and

Least Common Multiple of 5320 and 5328

LCM of 5320 and 5328 is 3543120

Least common multiple can be found by multiplying the highest exponent prime factors of 5320 and 5328. First we will calculate the prime factors of 5320 and 5328.

Prime Factorization of 5320


2 5320
2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 5320 are 2, 5, 7,19. Prime factorization of 5320 in exponential form is:

5320 = 23×51×71×191

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 5320 and 5328.

LCM(5320,5328) = 24×32×51×71×191×371
LCM(5320,5328) = 3543120

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320

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 5320 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 5320 and 5328, than apply into the LCM equation.

GCF(5320,5328) = 8
LCM(5320,5328) = ( 5320 × 5328) / 8
LCM(5320,5328) = 28344960 / 8
LCM(5320,5328) = 3543120

Properties of LCM 5320 and 5328

(i) The LCM of 5328 and 5320 is associative

LCM of 5320 and 5328 = LCM of 5328 and 5320

Related Least Common Multiples of 5320

Related Least Common Multiples of 5328

Frequently Asked Questions on LCM of 5320 and 5328

1. What is the LCM of 5320 and 5328?

Answer: LCM of 5320 and 5328 is 3543120.

2. What are the Factors of 5320?

Answer: Factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320. There are 32 integers that are factors of 5320. The greatest factor of 5320 is 5320.

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 5320 and 5328?

Answer:

Least Common Multiple of 5320 and 5328 = 3543120

Step 1: Find the prime factorization of 5320

5320 = 2 x 2 x 2 x 5 x 7 x 19

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 = 3543120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 5320 and 5328 is 3543120.