Least Common Multiple of 5724 and 5728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5724 and 5728 the smallest integer that is 8196768 that is divisible by both numbers.

Least Common Multiple (LCM) of 5724 and 5728 is 8196768.

LCM(5724,5728) = 8196768

LCM of 5724 and 5728

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

LCM of:
and

Least Common Multiple of 5724 and 5728

LCM of 5724 and 5728 is 8196768

Least common multiple can be found by multiplying the highest exponent prime factors of 5724 and 5728. First we will calculate the prime factors of 5724 and 5728.

Prime Factorization of 5724


2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 5724 are 2, 3,53. Prime factorization of 5724 in exponential form is:

5724 = 22×33×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5724 and 5728.

LCM(5724,5728) = 25×33×531×1791
LCM(5724,5728) = 8196768

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724

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

Least Common Multiple of 5724 and 5728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5724 and 5728, than apply into the LCM equation.

GCF(5724,5728) = 4
LCM(5724,5728) = ( 5724 × 5728) / 4
LCM(5724,5728) = 32787072 / 4
LCM(5724,5728) = 8196768

Properties of LCM 5724 and 5728

(i) The LCM of 5728 and 5724 is associative

LCM of 5724 and 5728 = LCM of 5728 and 5724

Related Least Common Multiples of 5724

Related Least Common Multiples of 5728

Frequently Asked Questions on LCM of 5724 and 5728

1. What is the LCM of 5724 and 5728?

Answer: LCM of 5724 and 5728 is 8196768.

2. What are the Factors of 5724?

Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.

3. 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.

4. How to Find the LCM of 5724 and 5728?

Answer:

Least Common Multiple of 5724 and 5728 = 8196768

Step 1: Find the prime factorization of 5724

5724 = 2 x 2 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 5728

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

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

LCM = 8196768 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53 x 179

Step 4: Therefore, the least common multiple of 5724 and 5728 is 8196768.