Least Common Multiple of 5728 and 5732

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 5732 the smallest integer that is 8208224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5728 and 5732 is 8208224.

LCM(5728,5732) = 8208224

LCM of 5728 and 5732

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

LCM of:
and

Least Common Multiple of 5728 and 5732

LCM of 5728 and 5732 is 8208224

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5732. First we will calculate the prime factors of 5728 and 5732.

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 5732


2 5732
2 2866
1433 1433
1

Prime factors of 5732 are 2,1433. Prime factorization of 5732 in exponential form is:

5732 = 22×14331

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5732.

LCM(5728,5732) = 25×1791×14331
LCM(5728,5732) = 8208224

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 5732

List of positive integer factors of 5732 that divides 5732 without a remainder.

1, 2, 4, 1433, 2866, 5732

Least Common Multiple of 5728 and 5732 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 5732, than apply into the LCM equation.

GCF(5728,5732) = 4
LCM(5728,5732) = ( 5728 × 5732) / 4
LCM(5728,5732) = 32832896 / 4
LCM(5728,5732) = 8208224

Properties of LCM 5728 and 5732

(i) The LCM of 5732 and 5728 is associative

LCM of 5728 and 5732 = LCM of 5732 and 5728

Related Least Common Multiples of 5728

Related Least Common Multiples of 5732

Frequently Asked Questions on LCM of 5728 and 5732

1. What is the LCM of 5728 and 5732?

Answer: LCM of 5728 and 5732 is 8208224.

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 5732?

Answer: Factors of 5732 are 1, 2, 4, 1433, 2866, 5732. There are 6 integers that are factors of 5732. The greatest factor of 5732 is 5732.

4. How to Find the LCM of 5728 and 5732?

Answer:

Least Common Multiple of 5728 and 5732 = 8208224

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 5732

5732 = 2 x 2 x 1433

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

LCM = 8208224 = 2 x 2 x 2 x 2 x 2 x 179 x 1433

Step 4: Therefore, the least common multiple of 5728 and 5732 is 8208224.