Least Common Multiple of 8707 and 8709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8707 and 8709 the smallest integer that is 75829263 that is divisible by both numbers.

Least Common Multiple (LCM) of 8707 and 8709 is 75829263.

LCM(8707,8709) = 75829263

LCM of 8707 and 8709

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

LCM of:
and

Least Common Multiple of 8707 and 8709

LCM of 8707 and 8709 is 75829263

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8709. First we will calculate the prime factors of 8707 and 8709.

Prime Factorization of 8707


8707 8707
1

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 87071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8709.

LCM(8707,8709) = 31×29031×87071
LCM(8707,8709) = 75829263

Factors of 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

1, 8707

Factors of 8709

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

1, 3, 2903, 8709

Least Common Multiple of 8707 and 8709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8707 and 8709, than apply into the LCM equation.

GCF(8707,8709) = 1
LCM(8707,8709) = ( 8707 × 8709) / 1
LCM(8707,8709) = 75829263 / 1
LCM(8707,8709) = 75829263

Properties of LCM 8707 and 8709

(i) The LCM of 8709 and 8707 is associative

LCM of 8707 and 8709 = LCM of 8709 and 8707

Related Least Common Multiples of 8707

Related Least Common Multiples of 8709

Frequently Asked Questions on LCM of 8707 and 8709

1. What is the LCM of 8707 and 8709?

Answer: LCM of 8707 and 8709 is 75829263.

2. What are the Factors of 8707?

Answer: Factors of 8707 are 1, 8707. There are 2 integers that are factors of 8707. The greatest factor of 8707 is 8707.

3. 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.

4. How to Find the LCM of 8707 and 8709?

Answer:

Least Common Multiple of 8707 and 8709 = 75829263

Step 1: Find the prime factorization of 8707

8707 = 8707

Step 2: Find the prime factorization of 8709

8709 = 3 x 2903

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

LCM = 75829263 = 3 x 2903 x 8707

Step 4: Therefore, the least common multiple of 8707 and 8709 is 75829263.