Least Common Multiple of 8710 and 8716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8710 and 8716 the smallest integer that is 37958180 that is divisible by both numbers.

Least Common Multiple (LCM) of 8710 and 8716 is 37958180.

LCM(8710,8716) = 37958180

LCM of 8710 and 8716

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

LCM of:
and

Least Common Multiple of 8710 and 8716

LCM of 8710 and 8716 is 37958180

Least common multiple can be found by multiplying the highest exponent prime factors of 8710 and 8716. First we will calculate the prime factors of 8710 and 8716.

Prime Factorization of 8710


2 8710
5 4355
13 871
67 67
1

Prime factors of 8710 are 2, 5, 13,67. Prime factorization of 8710 in exponential form is:

8710 = 21×51×131×671

Prime Factorization of 8716


2 8716
2 4358
2179 2179
1

Prime factors of 8716 are 2,2179. Prime factorization of 8716 in exponential form is:

8716 = 22×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 8710 and 8716.

LCM(8710,8716) = 22×51×131×671×21791
LCM(8710,8716) = 37958180

Factors of 8710

List of positive integer factors of 8710 that divides 8710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1, 2, 4, 2179, 4358, 8716

Least Common Multiple of 8710 and 8716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8710 and 8716, than apply into the LCM equation.

GCF(8710,8716) = 2
LCM(8710,8716) = ( 8710 × 8716) / 2
LCM(8710,8716) = 75916360 / 2
LCM(8710,8716) = 37958180

Properties of LCM 8710 and 8716

(i) The LCM of 8716 and 8710 is associative

LCM of 8710 and 8716 = LCM of 8716 and 8710

Related Least Common Multiples of 8710

Related Least Common Multiples of 8716

Frequently Asked Questions on LCM of 8710 and 8716

1. What is the LCM of 8710 and 8716?

Answer: LCM of 8710 and 8716 is 37958180.

2. What are the Factors of 8710?

Answer: Factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710. There are 16 integers that are factors of 8710. The greatest factor of 8710 is 8710.

3. What are the Factors of 8716?

Answer: Factors of 8716 are 1, 2, 4, 2179, 4358, 8716. There are 6 integers that are factors of 8716. The greatest factor of 8716 is 8716.

4. How to Find the LCM of 8710 and 8716?

Answer:

Least Common Multiple of 8710 and 8716 = 37958180

Step 1: Find the prime factorization of 8710

8710 = 2 x 5 x 13 x 67

Step 2: Find the prime factorization of 8716

8716 = 2 x 2 x 2179

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

LCM = 37958180 = 2 x 2 x 5 x 13 x 67 x 2179

Step 4: Therefore, the least common multiple of 8710 and 8716 is 37958180.