Least Common Multiple of 8700 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 8700 and 8708 the smallest integer that is 18939900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8700 and 8708 is 18939900.

LCM(8700,8708) = 18939900

LCM of 8700 and 8708

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

LCM of:
and

Least Common Multiple of 8700 and 8708

LCM of 8700 and 8708 is 18939900

Least common multiple can be found by multiplying the highest exponent prime factors of 8700 and 8708. First we will calculate the prime factors of 8700 and 8708.

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 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 8700 and 8708.

LCM(8700,8708) = 22×31×52×71×291×3111
LCM(8700,8708) = 18939900

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 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 8700 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 8700 and 8708, than apply into the LCM equation.

GCF(8700,8708) = 4
LCM(8700,8708) = ( 8700 × 8708) / 4
LCM(8700,8708) = 75759600 / 4
LCM(8700,8708) = 18939900

Properties of LCM 8700 and 8708

(i) The LCM of 8708 and 8700 is associative

LCM of 8700 and 8708 = LCM of 8708 and 8700

Related Least Common Multiples of 8700

Related Least Common Multiples of 8708

Frequently Asked Questions on LCM of 8700 and 8708

1. What is the LCM of 8700 and 8708?

Answer: LCM of 8700 and 8708 is 18939900.

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 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 8700 and 8708?

Answer:

Least Common Multiple of 8700 and 8708 = 18939900

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 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 = 18939900 = 2 x 2 x 3 x 5 x 5 x 7 x 29 x 311

Step 4: Therefore, the least common multiple of 8700 and 8708 is 18939900.