Least Common Multiple of 8708 and 8714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8708 and 8714 the smallest integer that is 37940756 that is divisible by both numbers.

Least Common Multiple (LCM) of 8708 and 8714 is 37940756.

LCM(8708,8714) = 37940756

LCM of 8708 and 8714

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

LCM of:
and

Least Common Multiple of 8708 and 8714

LCM of 8708 and 8714 is 37940756

Least common multiple can be found by multiplying the highest exponent prime factors of 8708 and 8714. First we will calculate the prime factors of 8708 and 8714.

Prime Factorization of 8708


2 8708
2 4354
7 2177
311 311
1

Prime factors of 8708 are 2, 7,311. Prime factorization of 8708 in exponential form is:

8708 = 22×71×3111

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

Now multiplying the highest exponent prime factors to calculate the LCM of 8708 and 8714.

LCM(8708,8714) = 22×71×3111×43571
LCM(8708,8714) = 37940756

Factors of 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1, 2, 4357, 8714

Least Common Multiple of 8708 and 8714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8708 and 8714, than apply into the LCM equation.

GCF(8708,8714) = 2
LCM(8708,8714) = ( 8708 × 8714) / 2
LCM(8708,8714) = 75881512 / 2
LCM(8708,8714) = 37940756

Properties of LCM 8708 and 8714

(i) The LCM of 8714 and 8708 is associative

LCM of 8708 and 8714 = LCM of 8714 and 8708

Related Least Common Multiples of 8708

Related Least Common Multiples of 8714

Frequently Asked Questions on LCM of 8708 and 8714

1. What is the LCM of 8708 and 8714?

Answer: LCM of 8708 and 8714 is 37940756.

2. What are the Factors of 8708?

Answer: Factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708. There are 12 integers that are factors of 8708. The greatest factor of 8708 is 8708.

3. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

4. How to Find the LCM of 8708 and 8714?

Answer:

Least Common Multiple of 8708 and 8714 = 37940756

Step 1: Find the prime factorization of 8708

8708 = 2 x 2 x 7 x 311

Step 2: Find the prime factorization of 8714

8714 = 2 x 4357

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

LCM = 37940756 = 2 x 2 x 7 x 311 x 4357

Step 4: Therefore, the least common multiple of 8708 and 8714 is 37940756.