Least Common Multiple of 5708 and 5714

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 5714 the smallest integer that is 16307756 that is divisible by both numbers.

Least Common Multiple (LCM) of 5708 and 5714 is 16307756.

LCM(5708,5714) = 16307756

LCM of 5708 and 5714

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

LCM of:
and

Least Common Multiple of 5708 and 5714

LCM of 5708 and 5714 is 16307756

Least common multiple can be found by multiplying the highest exponent prime factors of 5708 and 5714. First we will calculate the prime factors of 5708 and 5714.

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 5714


2 5714
2857 2857
1

Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:

5714 = 21×28571

Now multiplying the highest exponent prime factors to calculate the LCM of 5708 and 5714.

LCM(5708,5714) = 22×14271×28571
LCM(5708,5714) = 16307756

Factors of 5708

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

1, 2, 4, 1427, 2854, 5708

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1, 2, 2857, 5714

Least Common Multiple of 5708 and 5714 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 5714, than apply into the LCM equation.

GCF(5708,5714) = 2
LCM(5708,5714) = ( 5708 × 5714) / 2
LCM(5708,5714) = 32615512 / 2
LCM(5708,5714) = 16307756

Properties of LCM 5708 and 5714

(i) The LCM of 5714 and 5708 is associative

LCM of 5708 and 5714 = LCM of 5714 and 5708

Related Least Common Multiples of 5708

Related Least Common Multiples of 5714

Frequently Asked Questions on LCM of 5708 and 5714

1. What is the LCM of 5708 and 5714?

Answer: LCM of 5708 and 5714 is 16307756.

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 5714?

Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.

4. How to Find the LCM of 5708 and 5714?

Answer:

Least Common Multiple of 5708 and 5714 = 16307756

Step 1: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

Step 2: Find the prime factorization of 5714

5714 = 2 x 2857

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

LCM = 16307756 = 2 x 2 x 1427 x 2857

Step 4: Therefore, the least common multiple of 5708 and 5714 is 16307756.