Least Common Multiple of 8709 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 8709 and 8716 the smallest integer that is 75907644 that is divisible by both numbers.

Least Common Multiple (LCM) of 8709 and 8716 is 75907644.

LCM(8709,8716) = 75907644

LCM of 8709 and 8716

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

LCM of:
and

Least Common Multiple of 8709 and 8716

LCM of 8709 and 8716 is 75907644

Least common multiple can be found by multiplying the highest exponent prime factors of 8709 and 8716. First we will calculate the prime factors of 8709 and 8716.

Prime Factorization of 8709


3 8709
2903 2903
1

Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:

8709 = 31×29031

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 8709 and 8716.

LCM(8709,8716) = 22×31×21791×29031
LCM(8709,8716) = 75907644

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1, 3, 2903, 8709

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 8709 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 8709 and 8716, than apply into the LCM equation.

GCF(8709,8716) = 1
LCM(8709,8716) = ( 8709 × 8716) / 1
LCM(8709,8716) = 75907644 / 1
LCM(8709,8716) = 75907644

Properties of LCM 8709 and 8716

(i) The LCM of 8716 and 8709 is associative

LCM of 8709 and 8716 = LCM of 8716 and 8709

Related Least Common Multiples of 8709

Related Least Common Multiples of 8716

Frequently Asked Questions on LCM of 8709 and 8716

1. What is the LCM of 8709 and 8716?

Answer: LCM of 8709 and 8716 is 75907644.

2. What are the Factors of 8709?

Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.

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 8709 and 8716?

Answer:

Least Common Multiple of 8709 and 8716 = 75907644

Step 1: Find the prime factorization of 8709

8709 = 3 x 2903

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 = 75907644 = 2 x 2 x 3 x 2179 x 2903

Step 4: Therefore, the least common multiple of 8709 and 8716 is 75907644.