Least Common Multiple of 8716 and 8719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8716 and 8719 the smallest integer that is 75994804 that is divisible by both numbers.

Least Common Multiple (LCM) of 8716 and 8719 is 75994804.

LCM(8716,8719) = 75994804

LCM of 8716 and 8719

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

LCM of:
and

Least Common Multiple of 8716 and 8719

LCM of 8716 and 8719 is 75994804

Least common multiple can be found by multiplying the highest exponent prime factors of 8716 and 8719. First we will calculate the prime factors of 8716 and 8719.

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

Prime Factorization of 8719


8719 8719
1

Prime factors of 8719 are 8719. Prime factorization of 8719 in exponential form is:

8719 = 87191

Now multiplying the highest exponent prime factors to calculate the LCM of 8716 and 8719.

LCM(8716,8719) = 22×21791×87191
LCM(8716,8719) = 75994804

Factors of 8716

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

1, 2, 4, 2179, 4358, 8716

Factors of 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1, 8719

Least Common Multiple of 8716 and 8719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8716 and 8719, than apply into the LCM equation.

GCF(8716,8719) = 1
LCM(8716,8719) = ( 8716 × 8719) / 1
LCM(8716,8719) = 75994804 / 1
LCM(8716,8719) = 75994804

Properties of LCM 8716 and 8719

(i) The LCM of 8719 and 8716 is associative

LCM of 8716 and 8719 = LCM of 8719 and 8716

Related Least Common Multiples of 8716

Related Least Common Multiples of 8719

Frequently Asked Questions on LCM of 8716 and 8719

1. What is the LCM of 8716 and 8719?

Answer: LCM of 8716 and 8719 is 75994804.

2. 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.

3. What are the Factors of 8719?

Answer: Factors of 8719 are 1, 8719. There are 2 integers that are factors of 8719. The greatest factor of 8719 is 8719.

4. How to Find the LCM of 8716 and 8719?

Answer:

Least Common Multiple of 8716 and 8719 = 75994804

Step 1: Find the prime factorization of 8716

8716 = 2 x 2 x 2179

Step 2: Find the prime factorization of 8719

8719 = 8719

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

LCM = 75994804 = 2 x 2 x 2179 x 8719

Step 4: Therefore, the least common multiple of 8716 and 8719 is 75994804.