Least Common Multiple of 8500 and 8506

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 8506 the smallest integer that is 36150500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8500 and 8506 is 36150500.

LCM(8500,8506) = 36150500

LCM of 8500 and 8506

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

LCM of:
and

Least Common Multiple of 8500 and 8506

LCM of 8500 and 8506 is 36150500

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8506. First we will calculate the prime factors of 8500 and 8506.

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 8506


2 8506
4253 4253
1

Prime factors of 8506 are 2,4253. Prime factorization of 8506 in exponential form is:

8506 = 21×42531

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8506.

LCM(8500,8506) = 22×53×171×42531
LCM(8500,8506) = 36150500

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 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1, 2, 4253, 8506

Least Common Multiple of 8500 and 8506 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 8506, than apply into the LCM equation.

GCF(8500,8506) = 2
LCM(8500,8506) = ( 8500 × 8506) / 2
LCM(8500,8506) = 72301000 / 2
LCM(8500,8506) = 36150500

Properties of LCM 8500 and 8506

(i) The LCM of 8506 and 8500 is associative

LCM of 8500 and 8506 = LCM of 8506 and 8500

Related Least Common Multiples of 8500

Related Least Common Multiples of 8506

Frequently Asked Questions on LCM of 8500 and 8506

1. What is the LCM of 8500 and 8506?

Answer: LCM of 8500 and 8506 is 36150500.

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 8506?

Answer: Factors of 8506 are 1, 2, 4253, 8506. There are 4 integers that are factors of 8506. The greatest factor of 8506 is 8506.

4. How to Find the LCM of 8500 and 8506?

Answer:

Least Common Multiple of 8500 and 8506 = 36150500

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 8506

8506 = 2 x 4253

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

LCM = 36150500 = 2 x 2 x 5 x 5 x 5 x 17 x 4253

Step 4: Therefore, the least common multiple of 8500 and 8506 is 36150500.