Least Common Multiple of 5708 and 5712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5708 and 5712 the smallest integer that is 8151024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5708 and 5712 is 8151024.

LCM(5708,5712) = 8151024

LCM of 5708 and 5712

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

LCM of:
and

Least Common Multiple of 5708 and 5712

LCM of 5708 and 5712 is 8151024

Least common multiple can be found by multiplying the highest exponent prime factors of 5708 and 5712. First we will calculate the prime factors of 5708 and 5712.

Prime Factorization of 5708


2 5708
2 2854
1427 1427
1

Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:

5708 = 22×14271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5708 and 5712.

LCM(5708,5712) = 24×31×71×171×14271
LCM(5708,5712) = 8151024

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1, 2, 4, 1427, 2854, 5708

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

Least Common Multiple of 5708 and 5712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5708 and 5712, than apply into the LCM equation.

GCF(5708,5712) = 4
LCM(5708,5712) = ( 5708 × 5712) / 4
LCM(5708,5712) = 32604096 / 4
LCM(5708,5712) = 8151024

Properties of LCM 5708 and 5712

(i) The LCM of 5712 and 5708 is associative

LCM of 5708 and 5712 = LCM of 5712 and 5708

Related Least Common Multiples of 5708

Related Least Common Multiples of 5712

Frequently Asked Questions on LCM of 5708 and 5712

1. What is the LCM of 5708 and 5712?

Answer: LCM of 5708 and 5712 is 8151024.

2. What are the Factors of 5708?

Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.

3. 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.

4. How to Find the LCM of 5708 and 5712?

Answer:

Least Common Multiple of 5708 and 5712 = 8151024

Step 1: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

Step 2: Find the prime factorization of 5712

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

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

LCM = 8151024 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 1427

Step 4: Therefore, the least common multiple of 5708 and 5712 is 8151024.