Least Common Multiple of 5328 and 5333

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 5333 the smallest integer that is 28414224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5328 and 5333 is 28414224.

LCM(5328,5333) = 28414224

LCM of 5328 and 5333

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

LCM of:
and

Least Common Multiple of 5328 and 5333

LCM of 5328 and 5333 is 28414224

Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5333. First we will calculate the prime factors of 5328 and 5333.

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 5333


5333 5333
1

Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:

5333 = 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 5328 and 5333.

LCM(5328,5333) = 24×32×371×53331
LCM(5328,5333) = 28414224

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 5333

List of positive integer factors of 5333 that divides 5333 without a remainder.

1, 5333

Least Common Multiple of 5328 and 5333 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 5333, than apply into the LCM equation.

GCF(5328,5333) = 1
LCM(5328,5333) = ( 5328 × 5333) / 1
LCM(5328,5333) = 28414224 / 1
LCM(5328,5333) = 28414224

Properties of LCM 5328 and 5333

(i) The LCM of 5333 and 5328 is associative

LCM of 5328 and 5333 = LCM of 5333 and 5328

Related Least Common Multiples of 5328

Related Least Common Multiples of 5333

Frequently Asked Questions on LCM of 5328 and 5333

1. What is the LCM of 5328 and 5333?

Answer: LCM of 5328 and 5333 is 28414224.

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 5333?

Answer: Factors of 5333 are 1, 5333. There are 2 integers that are factors of 5333. The greatest factor of 5333 is 5333.

4. How to Find the LCM of 5328 and 5333?

Answer:

Least Common Multiple of 5328 and 5333 = 28414224

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 5333

5333 = 5333

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

LCM = 28414224 = 2 x 2 x 2 x 2 x 3 x 3 x 37 x 5333

Step 4: Therefore, the least common multiple of 5328 and 5333 is 28414224.