Least Common Multiple of 8707 and 8708

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 8708 the smallest integer that is 75820556 that is divisible by both numbers.

Least Common Multiple (LCM) of 8707 and 8708 is 75820556.

LCM(8707,8708) = 75820556

LCM of 8707 and 8708

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

LCM of:
and

Least Common Multiple of 8707 and 8708

LCM of 8707 and 8708 is 75820556

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8708. First we will calculate the prime factors of 8707 and 8708.

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 8708


2 8708
2 4354
7 2177
311 311
1

Prime factors of 8708 are 2, 7,311. Prime factorization of 8708 in exponential form is:

8708 = 22×71×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8708.

LCM(8707,8708) = 22×71×3111×87071
LCM(8707,8708) = 75820556

Factors of 8707

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

1, 8707

Factors of 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

Least Common Multiple of 8707 and 8708 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 8708, than apply into the LCM equation.

GCF(8707,8708) = 1
LCM(8707,8708) = ( 8707 × 8708) / 1
LCM(8707,8708) = 75820556 / 1
LCM(8707,8708) = 75820556

Properties of LCM 8707 and 8708

(i) The LCM of 8708 and 8707 is associative

LCM of 8707 and 8708 = LCM of 8708 and 8707

Related Least Common Multiples of 8707

Related Least Common Multiples of 8708

Frequently Asked Questions on LCM of 8707 and 8708

1. What is the LCM of 8707 and 8708?

Answer: LCM of 8707 and 8708 is 75820556.

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 8708?

Answer: Factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708. There are 12 integers that are factors of 8708. The greatest factor of 8708 is 8708.

4. How to Find the LCM of 8707 and 8708?

Answer:

Least Common Multiple of 8707 and 8708 = 75820556

Step 1: Find the prime factorization of 8707

8707 = 8707

Step 2: Find the prime factorization of 8708

8708 = 2 x 2 x 7 x 311

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

LCM = 75820556 = 2 x 2 x 7 x 311 x 8707

Step 4: Therefore, the least common multiple of 8707 and 8708 is 75820556.