Least Common Multiple of 8700 and 8707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8700 and 8707 the smallest integer that is 75750900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8700 and 8707 is 75750900.

LCM(8700,8707) = 75750900

LCM of 8700 and 8707

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

LCM of:
and

Least Common Multiple of 8700 and 8707

LCM of 8700 and 8707 is 75750900

Least common multiple can be found by multiplying the highest exponent prime factors of 8700 and 8707. First we will calculate the prime factors of 8700 and 8707.

Prime Factorization of 8700


2 8700
2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 8700 are 2, 3, 5,29. Prime factorization of 8700 in exponential form is:

8700 = 22×31×52×291

Prime Factorization of 8707


8707 8707
1

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

8707 = 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 8700 and 8707.

LCM(8700,8707) = 22×31×52×291×87071
LCM(8700,8707) = 75750900

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700

Factors of 8707

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

1, 8707

Least Common Multiple of 8700 and 8707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8700 and 8707, than apply into the LCM equation.

GCF(8700,8707) = 1
LCM(8700,8707) = ( 8700 × 8707) / 1
LCM(8700,8707) = 75750900 / 1
LCM(8700,8707) = 75750900

Properties of LCM 8700 and 8707

(i) The LCM of 8707 and 8700 is associative

LCM of 8700 and 8707 = LCM of 8707 and 8700

Related Least Common Multiples of 8700

Related Least Common Multiples of 8707

Frequently Asked Questions on LCM of 8700 and 8707

1. What is the LCM of 8700 and 8707?

Answer: LCM of 8700 and 8707 is 75750900.

2. What are the Factors of 8700?

Answer: Factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700. There are 36 integers that are factors of 8700. The greatest factor of 8700 is 8700.

3. 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.

4. How to Find the LCM of 8700 and 8707?

Answer:

Least Common Multiple of 8700 and 8707 = 75750900

Step 1: Find the prime factorization of 8700

8700 = 2 x 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 8707

8707 = 8707

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

LCM = 75750900 = 2 x 2 x 3 x 5 x 5 x 29 x 8707

Step 4: Therefore, the least common multiple of 8700 and 8707 is 75750900.