Least Common Multiple of 5712 and 5716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5712 and 5716 the smallest integer that is 8162448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5712 and 5716 is 8162448.

LCM(5712,5716) = 8162448

LCM of 5712 and 5716

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

LCM of:
and

Least Common Multiple of 5712 and 5716

LCM of 5712 and 5716 is 8162448

Least common multiple can be found by multiplying the highest exponent prime factors of 5712 and 5716. First we will calculate the prime factors of 5712 and 5716.

Prime Factorization of 5712


2 5712
2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 5712 are 2, 3, 7,17. Prime factorization of 5712 in exponential form is:

5712 = 24×31×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5712 and 5716.

LCM(5712,5716) = 24×31×71×171×14291
LCM(5712,5716) = 8162448

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712

Factors of 5716

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

1, 2, 4, 1429, 2858, 5716

Least Common Multiple of 5712 and 5716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5712 and 5716, than apply into the LCM equation.

GCF(5712,5716) = 4
LCM(5712,5716) = ( 5712 × 5716) / 4
LCM(5712,5716) = 32649792 / 4
LCM(5712,5716) = 8162448

Properties of LCM 5712 and 5716

(i) The LCM of 5716 and 5712 is associative

LCM of 5712 and 5716 = LCM of 5716 and 5712

Related Least Common Multiples of 5712

Related Least Common Multiples of 5716

Frequently Asked Questions on LCM of 5712 and 5716

1. What is the LCM of 5712 and 5716?

Answer: LCM of 5712 and 5716 is 8162448.

2. What are the Factors of 5712?

Answer: Factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712. There are 40 integers that are factors of 5712. The greatest factor of 5712 is 5712.

3. 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.

4. How to Find the LCM of 5712 and 5716?

Answer:

Least Common Multiple of 5712 and 5716 = 8162448

Step 1: Find the prime factorization of 5712

5712 = 2 x 2 x 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

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

LCM = 8162448 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 1429

Step 4: Therefore, the least common multiple of 5712 and 5716 is 8162448.