Least Common Multiple of 8707 and 8713

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 8713 the smallest integer that is 75864091 that is divisible by both numbers.

Least Common Multiple (LCM) of 8707 and 8713 is 75864091.

LCM(8707,8713) = 75864091

LCM of 8707 and 8713

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

LCM of:
and

Least Common Multiple of 8707 and 8713

LCM of 8707 and 8713 is 75864091

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8713. First we will calculate the prime factors of 8707 and 8713.

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 8713


8713 8713
1

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 87131

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8713.

LCM(8707,8713) = 87071×87131
LCM(8707,8713) = 75864091

Factors of 8707

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

1, 8707

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1, 8713

Least Common Multiple of 8707 and 8713 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 8713, than apply into the LCM equation.

GCF(8707,8713) = 1
LCM(8707,8713) = ( 8707 × 8713) / 1
LCM(8707,8713) = 75864091 / 1
LCM(8707,8713) = 75864091

Properties of LCM 8707 and 8713

(i) The LCM of 8713 and 8707 is associative

LCM of 8707 and 8713 = LCM of 8713 and 8707

Related Least Common Multiples of 8707

Related Least Common Multiples of 8713

Frequently Asked Questions on LCM of 8707 and 8713

1. What is the LCM of 8707 and 8713?

Answer: LCM of 8707 and 8713 is 75864091.

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 8713?

Answer: Factors of 8713 are 1, 8713. There are 2 integers that are factors of 8713. The greatest factor of 8713 is 8713.

4. How to Find the LCM of 8707 and 8713?

Answer:

Least Common Multiple of 8707 and 8713 = 75864091

Step 1: Find the prime factorization of 8707

8707 = 8707

Step 2: Find the prime factorization of 8713

8713 = 8713

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

LCM = 75864091 = 8707 x 8713

Step 4: Therefore, the least common multiple of 8707 and 8713 is 75864091.