Least Common Multiple of 5724 and 5727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5724 and 5727 the smallest integer that is 10927116 that is divisible by both numbers.

Least Common Multiple (LCM) of 5724 and 5727 is 10927116.

LCM(5724,5727) = 10927116

LCM of 5724 and 5727

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

LCM of:
and

Least Common Multiple of 5724 and 5727

LCM of 5724 and 5727 is 10927116

Least common multiple can be found by multiplying the highest exponent prime factors of 5724 and 5727. First we will calculate the prime factors of 5724 and 5727.

Prime Factorization of 5724


2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 5724 are 2, 3,53. Prime factorization of 5724 in exponential form is:

5724 = 22×33×531

Prime Factorization of 5727


3 5727
23 1909
83 83
1

Prime factors of 5727 are 3, 23,83. Prime factorization of 5727 in exponential form is:

5727 = 31×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5724 and 5727.

LCM(5724,5727) = 22×33×231×531×831
LCM(5724,5727) = 10927116

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724

Factors of 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1, 3, 23, 69, 83, 249, 1909, 5727

Least Common Multiple of 5724 and 5727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5724 and 5727, than apply into the LCM equation.

GCF(5724,5727) = 3
LCM(5724,5727) = ( 5724 × 5727) / 3
LCM(5724,5727) = 32781348 / 3
LCM(5724,5727) = 10927116

Properties of LCM 5724 and 5727

(i) The LCM of 5727 and 5724 is associative

LCM of 5724 and 5727 = LCM of 5727 and 5724

Related Least Common Multiples of 5724

Related Least Common Multiples of 5727

Frequently Asked Questions on LCM of 5724 and 5727

1. What is the LCM of 5724 and 5727?

Answer: LCM of 5724 and 5727 is 10927116.

2. What are the Factors of 5724?

Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.

3. What are the Factors of 5727?

Answer: Factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727. There are 8 integers that are factors of 5727. The greatest factor of 5727 is 5727.

4. How to Find the LCM of 5724 and 5727?

Answer:

Least Common Multiple of 5724 and 5727 = 10927116

Step 1: Find the prime factorization of 5724

5724 = 2 x 2 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 5727

5727 = 3 x 23 x 83

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

LCM = 10927116 = 2 x 2 x 3 x 3 x 3 x 23 x 53 x 83

Step 4: Therefore, the least common multiple of 5724 and 5727 is 10927116.