Least Common Multiple of 8500 and 8508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8500 and 8508 the smallest integer that is 18079500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8500 and 8508 is 18079500.

LCM(8500,8508) = 18079500

LCM of 8500 and 8508

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

LCM of:
and

Least Common Multiple of 8500 and 8508

LCM of 8500 and 8508 is 18079500

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8508. First we will calculate the prime factors of 8500 and 8508.

Prime Factorization of 8500


2 8500
2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 8500 are 2, 5,17. Prime factorization of 8500 in exponential form is:

8500 = 22×53×171

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8508.

LCM(8500,8508) = 22×31×53×171×7091
LCM(8500,8508) = 18079500

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508

Least Common Multiple of 8500 and 8508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8500 and 8508, than apply into the LCM equation.

GCF(8500,8508) = 4
LCM(8500,8508) = ( 8500 × 8508) / 4
LCM(8500,8508) = 72318000 / 4
LCM(8500,8508) = 18079500

Properties of LCM 8500 and 8508

(i) The LCM of 8508 and 8500 is associative

LCM of 8500 and 8508 = LCM of 8508 and 8500

Related Least Common Multiples of 8500

Related Least Common Multiples of 8508

Frequently Asked Questions on LCM of 8500 and 8508

1. What is the LCM of 8500 and 8508?

Answer: LCM of 8500 and 8508 is 18079500.

2. What are the Factors of 8500?

Answer: Factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500. There are 24 integers that are factors of 8500. The greatest factor of 8500 is 8500.

3. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

4. How to Find the LCM of 8500 and 8508?

Answer:

Least Common Multiple of 8500 and 8508 = 18079500

Step 1: Find the prime factorization of 8500

8500 = 2 x 2 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

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

LCM = 18079500 = 2 x 2 x 3 x 5 x 5 x 5 x 17 x 709

Step 4: Therefore, the least common multiple of 8500 and 8508 is 18079500.