Least Common Multiple of 5728 and 5735

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 5735 the smallest integer that is 32850080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5728 and 5735 is 32850080.

LCM(5728,5735) = 32850080

LCM of 5728 and 5735

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

LCM of:
and

Least Common Multiple of 5728 and 5735

LCM of 5728 and 5735 is 32850080

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5735. First we will calculate the prime factors of 5728 and 5735.

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 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5735.

LCM(5728,5735) = 25×51×311×371×1791
LCM(5728,5735) = 32850080

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 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1, 5, 31, 37, 155, 185, 1147, 5735

Least Common Multiple of 5728 and 5735 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 5735, than apply into the LCM equation.

GCF(5728,5735) = 1
LCM(5728,5735) = ( 5728 × 5735) / 1
LCM(5728,5735) = 32850080 / 1
LCM(5728,5735) = 32850080

Properties of LCM 5728 and 5735

(i) The LCM of 5735 and 5728 is associative

LCM of 5728 and 5735 = LCM of 5735 and 5728

Related Least Common Multiples of 5728

Related Least Common Multiples of 5735

Frequently Asked Questions on LCM of 5728 and 5735

1. What is the LCM of 5728 and 5735?

Answer: LCM of 5728 and 5735 is 32850080.

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 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

4. How to Find the LCM of 5728 and 5735?

Answer:

Least Common Multiple of 5728 and 5735 = 32850080

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 5735

5735 = 5 x 31 x 37

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

LCM = 32850080 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 37 x 179

Step 4: Therefore, the least common multiple of 5728 and 5735 is 32850080.