Least Common Multiple of 8696 and 8700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8696 and 8700 the smallest integer that is 18913800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8696 and 8700 is 18913800.

LCM(8696,8700) = 18913800

LCM of 8696 and 8700

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

LCM of:
and

Least Common Multiple of 8696 and 8700

LCM of 8696 and 8700 is 18913800

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8700. First we will calculate the prime factors of 8696 and 8700.

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8696 and 8700.

LCM(8696,8700) = 23×31×52×291×10871
LCM(8696,8700) = 18913800

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348, 8696

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

Least Common Multiple of 8696 and 8700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8696 and 8700, than apply into the LCM equation.

GCF(8696,8700) = 4
LCM(8696,8700) = ( 8696 × 8700) / 4
LCM(8696,8700) = 75655200 / 4
LCM(8696,8700) = 18913800

Properties of LCM 8696 and 8700

(i) The LCM of 8700 and 8696 is associative

LCM of 8696 and 8700 = LCM of 8700 and 8696

Related Least Common Multiples of 8696

Related Least Common Multiples of 8700

Frequently Asked Questions on LCM of 8696 and 8700

1. What is the LCM of 8696 and 8700?

Answer: LCM of 8696 and 8700 is 18913800.

2. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

3. 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.

4. How to Find the LCM of 8696 and 8700?

Answer:

Least Common Multiple of 8696 and 8700 = 18913800

Step 1: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

Step 2: Find the prime factorization of 8700

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

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

LCM = 18913800 = 2 x 2 x 2 x 3 x 5 x 5 x 29 x 1087

Step 4: Therefore, the least common multiple of 8696 and 8700 is 18913800.