Least Common Multiple of 5728 and 5733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5728 and 5733 the smallest integer that is 32838624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5728 and 5733 is 32838624.

LCM(5728,5733) = 32838624

LCM of 5728 and 5733

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

LCM of:
and

Least Common Multiple of 5728 and 5733

LCM of 5728 and 5733 is 32838624

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5733. First we will calculate the prime factors of 5728 and 5733.

Prime Factorization of 5728


2 5728
2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 5728 are 2,179. Prime factorization of 5728 in exponential form is:

5728 = 25×1791

Prime Factorization of 5733


3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 5733 are 3, 7,13. Prime factorization of 5733 in exponential form is:

5733 = 32×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5733.

LCM(5728,5733) = 25×32×72×131×1791
LCM(5728,5733) = 32838624

Factors of 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733

Least Common Multiple of 5728 and 5733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5728 and 5733, than apply into the LCM equation.

GCF(5728,5733) = 1
LCM(5728,5733) = ( 5728 × 5733) / 1
LCM(5728,5733) = 32838624 / 1
LCM(5728,5733) = 32838624

Properties of LCM 5728 and 5733

(i) The LCM of 5733 and 5728 is associative

LCM of 5728 and 5733 = LCM of 5733 and 5728

Related Least Common Multiples of 5728

Related Least Common Multiples of 5733

Frequently Asked Questions on LCM of 5728 and 5733

1. What is the LCM of 5728 and 5733?

Answer: LCM of 5728 and 5733 is 32838624.

2. What are the Factors of 5728?

Answer: Factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728. There are 12 integers that are factors of 5728. The greatest factor of 5728 is 5728.

3. What are the Factors of 5733?

Answer: Factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. There are 18 integers that are factors of 5733. The greatest factor of 5733 is 5733.

4. How to Find the LCM of 5728 and 5733?

Answer:

Least Common Multiple of 5728 and 5733 = 32838624

Step 1: Find the prime factorization of 5728

5728 = 2 x 2 x 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 5733

5733 = 3 x 3 x 7 x 7 x 13

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

LCM = 32838624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 179

Step 4: Therefore, the least common multiple of 5728 and 5733 is 32838624.