Least Common Multiple of 5716 and 5724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5716 and 5724 the smallest integer that is 8179596 that is divisible by both numbers.

Least Common Multiple (LCM) of 5716 and 5724 is 8179596.

LCM(5716,5724) = 8179596

LCM of 5716 and 5724

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

LCM of:
and

Least Common Multiple of 5716 and 5724

LCM of 5716 and 5724 is 8179596

Least common multiple can be found by multiplying the highest exponent prime factors of 5716 and 5724. First we will calculate the prime factors of 5716 and 5724.

Prime Factorization of 5716


2 5716
2 2858
1429 1429
1

Prime factors of 5716 are 2,1429. Prime factorization of 5716 in exponential form is:

5716 = 22×14291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5716 and 5724.

LCM(5716,5724) = 22×33×531×14291
LCM(5716,5724) = 8179596

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1, 2, 4, 1429, 2858, 5716

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

Least Common Multiple of 5716 and 5724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5716 and 5724, than apply into the LCM equation.

GCF(5716,5724) = 4
LCM(5716,5724) = ( 5716 × 5724) / 4
LCM(5716,5724) = 32718384 / 4
LCM(5716,5724) = 8179596

Properties of LCM 5716 and 5724

(i) The LCM of 5724 and 5716 is associative

LCM of 5716 and 5724 = LCM of 5724 and 5716

Related Least Common Multiples of 5716

Related Least Common Multiples of 5724

Frequently Asked Questions on LCM of 5716 and 5724

1. What is the LCM of 5716 and 5724?

Answer: LCM of 5716 and 5724 is 8179596.

2. What are the Factors of 5716?

Answer: Factors of 5716 are 1, 2, 4, 1429, 2858, 5716. There are 6 integers that are factors of 5716. The greatest factor of 5716 is 5716.

3. 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.

4. How to Find the LCM of 5716 and 5724?

Answer:

Least Common Multiple of 5716 and 5724 = 8179596

Step 1: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

Step 2: Find the prime factorization of 5724

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

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

LCM = 8179596 = 2 x 2 x 3 x 3 x 3 x 53 x 1429

Step 4: Therefore, the least common multiple of 5716 and 5724 is 8179596.