Least Common Multiple of 5712 and 5720

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 5720 the smallest integer that is 4084080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5712 and 5720 is 4084080.

LCM(5712,5720) = 4084080

LCM of 5712 and 5720

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

LCM of:
and

Least Common Multiple of 5712 and 5720

LCM of 5712 and 5720 is 4084080

Least common multiple can be found by multiplying the highest exponent prime factors of 5712 and 5720. First we will calculate the prime factors of 5712 and 5720.

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 5720


2 5720
2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 5720 are 2, 5, 11,13. Prime factorization of 5720 in exponential form is:

5720 = 23×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5712 and 5720.

LCM(5712,5720) = 24×31×51×71×111×131×171
LCM(5712,5720) = 4084080

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 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720

Least Common Multiple of 5712 and 5720 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 5720, than apply into the LCM equation.

GCF(5712,5720) = 8
LCM(5712,5720) = ( 5712 × 5720) / 8
LCM(5712,5720) = 32672640 / 8
LCM(5712,5720) = 4084080

Properties of LCM 5712 and 5720

(i) The LCM of 5720 and 5712 is associative

LCM of 5712 and 5720 = LCM of 5720 and 5712

Related Least Common Multiples of 5712

Related Least Common Multiples of 5720

Frequently Asked Questions on LCM of 5712 and 5720

1. What is the LCM of 5712 and 5720?

Answer: LCM of 5712 and 5720 is 4084080.

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 5720?

Answer: Factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720. There are 32 integers that are factors of 5720. The greatest factor of 5720 is 5720.

4. How to Find the LCM of 5712 and 5720?

Answer:

Least Common Multiple of 5712 and 5720 = 4084080

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 5720

5720 = 2 x 2 x 2 x 5 x 11 x 13

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

LCM = 4084080 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 5712 and 5720 is 4084080.