Least Common Multiple of 8695 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 8695 and 8700 the smallest integer that is 15129300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8695 and 8700 is 15129300.

LCM(8695,8700) = 15129300

LCM of 8695 and 8700

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

LCM of:
and

Least Common Multiple of 8695 and 8700

LCM of 8695 and 8700 is 15129300

Least common multiple can be found by multiplying the highest exponent prime factors of 8695 and 8700. First we will calculate the prime factors of 8695 and 8700.

Prime Factorization of 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5, 37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

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 8695 and 8700.

LCM(8695,8700) = 22×31×52×291×371×471
LCM(8695,8700) = 15129300

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1, 5, 37, 47, 185, 235, 1739, 8695

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 8695 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 8695 and 8700, than apply into the LCM equation.

GCF(8695,8700) = 5
LCM(8695,8700) = ( 8695 × 8700) / 5
LCM(8695,8700) = 75646500 / 5
LCM(8695,8700) = 15129300

Properties of LCM 8695 and 8700

(i) The LCM of 8700 and 8695 is associative

LCM of 8695 and 8700 = LCM of 8700 and 8695

Related Least Common Multiples of 8695

Related Least Common Multiples of 8700

Frequently Asked Questions on LCM of 8695 and 8700

1. What is the LCM of 8695 and 8700?

Answer: LCM of 8695 and 8700 is 15129300.

2. What are the Factors of 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

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 8695 and 8700?

Answer:

Least Common Multiple of 8695 and 8700 = 15129300

Step 1: Find the prime factorization of 8695

8695 = 5 x 37 x 47

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 = 15129300 = 2 x 2 x 3 x 5 x 5 x 29 x 37 x 47

Step 4: Therefore, the least common multiple of 8695 and 8700 is 15129300.