Least Common Multiple of 8700 and 8706

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 8706 the smallest integer that is 12623700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8700 and 8706 is 12623700.

LCM(8700,8706) = 12623700

LCM of 8700 and 8706

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

LCM of:
and

Least Common Multiple of 8700 and 8706

LCM of 8700 and 8706 is 12623700

Least common multiple can be found by multiplying the highest exponent prime factors of 8700 and 8706. First we will calculate the prime factors of 8700 and 8706.

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 8706


2 8706
3 4353
1451 1451
1

Prime factors of 8706 are 2, 3,1451. Prime factorization of 8706 in exponential form is:

8706 = 21×31×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 8700 and 8706.

LCM(8700,8706) = 22×31×52×291×14511
LCM(8700,8706) = 12623700

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 8706

List of positive integer factors of 8706 that divides 8706 without a remainder.

1, 2, 3, 6, 1451, 2902, 4353, 8706

Least Common Multiple of 8700 and 8706 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 8706, than apply into the LCM equation.

GCF(8700,8706) = 6
LCM(8700,8706) = ( 8700 × 8706) / 6
LCM(8700,8706) = 75742200 / 6
LCM(8700,8706) = 12623700

Properties of LCM 8700 and 8706

(i) The LCM of 8706 and 8700 is associative

LCM of 8700 and 8706 = LCM of 8706 and 8700

Related Least Common Multiples of 8700

Related Least Common Multiples of 8706

Frequently Asked Questions on LCM of 8700 and 8706

1. What is the LCM of 8700 and 8706?

Answer: LCM of 8700 and 8706 is 12623700.

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 8706?

Answer: Factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706. There are 8 integers that are factors of 8706. The greatest factor of 8706 is 8706.

4. How to Find the LCM of 8700 and 8706?

Answer:

Least Common Multiple of 8700 and 8706 = 12623700

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 8706

8706 = 2 x 3 x 1451

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

LCM = 12623700 = 2 x 2 x 3 x 5 x 5 x 29 x 1451

Step 4: Therefore, the least common multiple of 8700 and 8706 is 12623700.