Least Common Multiple of 5708 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 5708 and 5716 the smallest integer that is 8156732 that is divisible by both numbers.

Least Common Multiple (LCM) of 5708 and 5716 is 8156732.

LCM(5708,5716) = 8156732

LCM of 5708 and 5716

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

LCM of:
and

Least Common Multiple of 5708 and 5716

LCM of 5708 and 5716 is 8156732

Least common multiple can be found by multiplying the highest exponent prime factors of 5708 and 5716. First we will calculate the prime factors of 5708 and 5716.

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 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 5708 and 5716.

LCM(5708,5716) = 22×14271×14291
LCM(5708,5716) = 8156732

Factors of 5708

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

1, 2, 4, 1427, 2854, 5708

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 5708 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 5708 and 5716, than apply into the LCM equation.

GCF(5708,5716) = 4
LCM(5708,5716) = ( 5708 × 5716) / 4
LCM(5708,5716) = 32626928 / 4
LCM(5708,5716) = 8156732

Properties of LCM 5708 and 5716

(i) The LCM of 5716 and 5708 is associative

LCM of 5708 and 5716 = LCM of 5716 and 5708

Related Least Common Multiples of 5708

Related Least Common Multiples of 5716

Frequently Asked Questions on LCM of 5708 and 5716

1. What is the LCM of 5708 and 5716?

Answer: LCM of 5708 and 5716 is 8156732.

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 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 5708 and 5716?

Answer:

Least Common Multiple of 5708 and 5716 = 8156732

Step 1: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

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 = 8156732 = 2 x 2 x 1427 x 1429

Step 4: Therefore, the least common multiple of 5708 and 5716 is 8156732.