Least Common Multiple of 5728 and 5736

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 5736 the smallest integer that is 4106976 that is divisible by both numbers.

Least Common Multiple (LCM) of 5728 and 5736 is 4106976.

LCM(5728,5736) = 4106976

LCM of 5728 and 5736

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

LCM of:
and

Least Common Multiple of 5728 and 5736

LCM of 5728 and 5736 is 4106976

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5736. First we will calculate the prime factors of 5728 and 5736.

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 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2, 3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5736.

LCM(5728,5736) = 25×31×1791×2391
LCM(5728,5736) = 4106976

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 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

Least Common Multiple of 5728 and 5736 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 5736, than apply into the LCM equation.

GCF(5728,5736) = 8
LCM(5728,5736) = ( 5728 × 5736) / 8
LCM(5728,5736) = 32855808 / 8
LCM(5728,5736) = 4106976

Properties of LCM 5728 and 5736

(i) The LCM of 5736 and 5728 is associative

LCM of 5728 and 5736 = LCM of 5736 and 5728

Related Least Common Multiples of 5728

Related Least Common Multiples of 5736

Frequently Asked Questions on LCM of 5728 and 5736

1. What is the LCM of 5728 and 5736?

Answer: LCM of 5728 and 5736 is 4106976.

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 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

4. How to Find the LCM of 5728 and 5736?

Answer:

Least Common Multiple of 5728 and 5736 = 4106976

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 5736

5736 = 2 x 2 x 2 x 3 x 239

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

LCM = 4106976 = 2 x 2 x 2 x 2 x 2 x 3 x 179 x 239

Step 4: Therefore, the least common multiple of 5728 and 5736 is 4106976.