Least Common Multiple of 5728 and 5734

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 5734 the smallest integer that is 16422176 that is divisible by both numbers.

Least Common Multiple (LCM) of 5728 and 5734 is 16422176.

LCM(5728,5734) = 16422176

LCM of 5728 and 5734

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

LCM of:
and

Least Common Multiple of 5728 and 5734

LCM of 5728 and 5734 is 16422176

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5734. First we will calculate the prime factors of 5728 and 5734.

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 5734


2 5734
47 2867
61 61
1

Prime factors of 5734 are 2, 47,61. Prime factorization of 5734 in exponential form is:

5734 = 21×471×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5734.

LCM(5728,5734) = 25×471×611×1791
LCM(5728,5734) = 16422176

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 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1, 2, 47, 61, 94, 122, 2867, 5734

Least Common Multiple of 5728 and 5734 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 5734, than apply into the LCM equation.

GCF(5728,5734) = 2
LCM(5728,5734) = ( 5728 × 5734) / 2
LCM(5728,5734) = 32844352 / 2
LCM(5728,5734) = 16422176

Properties of LCM 5728 and 5734

(i) The LCM of 5734 and 5728 is associative

LCM of 5728 and 5734 = LCM of 5734 and 5728

Related Least Common Multiples of 5728

Related Least Common Multiples of 5734

Frequently Asked Questions on LCM of 5728 and 5734

1. What is the LCM of 5728 and 5734?

Answer: LCM of 5728 and 5734 is 16422176.

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 5734?

Answer: Factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734. There are 8 integers that are factors of 5734. The greatest factor of 5734 is 5734.

4. How to Find the LCM of 5728 and 5734?

Answer:

Least Common Multiple of 5728 and 5734 = 16422176

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 5734

5734 = 2 x 47 x 61

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

LCM = 16422176 = 2 x 2 x 2 x 2 x 2 x 47 x 61 x 179

Step 4: Therefore, the least common multiple of 5728 and 5734 is 16422176.