Least Common Multiple of 5328 and 5332

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 5332 the smallest integer that is 7102224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5328 and 5332 is 7102224.

LCM(5328,5332) = 7102224

LCM of 5328 and 5332

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

LCM of:
and

Least Common Multiple of 5328 and 5332

LCM of 5328 and 5332 is 7102224

Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5332. First we will calculate the prime factors of 5328 and 5332.

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 5332


2 5332
2 2666
31 1333
43 43
1

Prime factors of 5332 are 2, 31,43. Prime factorization of 5332 in exponential form is:

5332 = 22×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5328 and 5332.

LCM(5328,5332) = 24×32×311×371×431
LCM(5328,5332) = 7102224

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 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

Least Common Multiple of 5328 and 5332 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 5332, than apply into the LCM equation.

GCF(5328,5332) = 4
LCM(5328,5332) = ( 5328 × 5332) / 4
LCM(5328,5332) = 28408896 / 4
LCM(5328,5332) = 7102224

Properties of LCM 5328 and 5332

(i) The LCM of 5332 and 5328 is associative

LCM of 5328 and 5332 = LCM of 5332 and 5328

Related Least Common Multiples of 5328

Related Least Common Multiples of 5332

Frequently Asked Questions on LCM of 5328 and 5332

1. What is the LCM of 5328 and 5332?

Answer: LCM of 5328 and 5332 is 7102224.

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 5332?

Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.

4. How to Find the LCM of 5328 and 5332?

Answer:

Least Common Multiple of 5328 and 5332 = 7102224

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 5332

5332 = 2 x 2 x 31 x 43

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

LCM = 7102224 = 2 x 2 x 2 x 2 x 3 x 3 x 31 x 37 x 43

Step 4: Therefore, the least common multiple of 5328 and 5332 is 7102224.