Least Common Multiple of 5723 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 5723 and 5728 the smallest integer that is 32781344 that is divisible by both numbers.

Least Common Multiple (LCM) of 5723 and 5728 is 32781344.

LCM(5723,5728) = 32781344

LCM of 5723 and 5728

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

LCM of:
and

Least Common Multiple of 5723 and 5728

LCM of 5723 and 5728 is 32781344

Least common multiple can be found by multiplying the highest exponent prime factors of 5723 and 5728. First we will calculate the prime factors of 5723 and 5728.

Prime Factorization of 5723


59 5723
97 97
1

Prime factors of 5723 are 59,97. Prime factorization of 5723 in exponential form is:

5723 = 591×971

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 5723 and 5728.

LCM(5723,5728) = 25×591×971×1791
LCM(5723,5728) = 32781344

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1, 59, 97, 5723

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 5723 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 5723 and 5728, than apply into the LCM equation.

GCF(5723,5728) = 1
LCM(5723,5728) = ( 5723 × 5728) / 1
LCM(5723,5728) = 32781344 / 1
LCM(5723,5728) = 32781344

Properties of LCM 5723 and 5728

(i) The LCM of 5728 and 5723 is associative

LCM of 5723 and 5728 = LCM of 5728 and 5723

Related Least Common Multiples of 5723

Related Least Common Multiples of 5728

Frequently Asked Questions on LCM of 5723 and 5728

1. What is the LCM of 5723 and 5728?

Answer: LCM of 5723 and 5728 is 32781344.

2. What are the Factors of 5723?

Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.

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 5723 and 5728?

Answer:

Least Common Multiple of 5723 and 5728 = 32781344

Step 1: Find the prime factorization of 5723

5723 = 59 x 97

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 = 32781344 = 2 x 2 x 2 x 2 x 2 x 59 x 97 x 179

Step 4: Therefore, the least common multiple of 5723 and 5728 is 32781344.