Least Common Multiple of 5712 and 5718

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 5718 the smallest integer that is 5443536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5712 and 5718 is 5443536.

LCM(5712,5718) = 5443536

LCM of 5712 and 5718

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

LCM of:
and

Least Common Multiple of 5712 and 5718

LCM of 5712 and 5718 is 5443536

Least common multiple can be found by multiplying the highest exponent prime factors of 5712 and 5718. First we will calculate the prime factors of 5712 and 5718.

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 5718


2 5718
3 2859
953 953
1

Prime factors of 5718 are 2, 3,953. Prime factorization of 5718 in exponential form is:

5718 = 21×31×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 5712 and 5718.

LCM(5712,5718) = 24×31×71×171×9531
LCM(5712,5718) = 5443536

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 5718

List of positive integer factors of 5718 that divides 5718 without a remainder.

1, 2, 3, 6, 953, 1906, 2859, 5718

Least Common Multiple of 5712 and 5718 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 5718, than apply into the LCM equation.

GCF(5712,5718) = 6
LCM(5712,5718) = ( 5712 × 5718) / 6
LCM(5712,5718) = 32661216 / 6
LCM(5712,5718) = 5443536

Properties of LCM 5712 and 5718

(i) The LCM of 5718 and 5712 is associative

LCM of 5712 and 5718 = LCM of 5718 and 5712

Related Least Common Multiples of 5712

Related Least Common Multiples of 5718

Frequently Asked Questions on LCM of 5712 and 5718

1. What is the LCM of 5712 and 5718?

Answer: LCM of 5712 and 5718 is 5443536.

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 5718?

Answer: Factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718. There are 8 integers that are factors of 5718. The greatest factor of 5718 is 5718.

4. How to Find the LCM of 5712 and 5718?

Answer:

Least Common Multiple of 5712 and 5718 = 5443536

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 5718

5718 = 2 x 3 x 953

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

LCM = 5443536 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 953

Step 4: Therefore, the least common multiple of 5712 and 5718 is 5443536.