Least Common Multiple of 8506 and 8510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8506 and 8510 the smallest integer that is 36193030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8506 and 8510 is 36193030.

LCM(8506,8510) = 36193030

LCM of 8506 and 8510

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

LCM of:
and

Least Common Multiple of 8506 and 8510

LCM of 8506 and 8510 is 36193030

Least common multiple can be found by multiplying the highest exponent prime factors of 8506 and 8510. First we will calculate the prime factors of 8506 and 8510.

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

Prime Factorization of 8510


2 8510
5 4255
23 851
37 37
1

Prime factors of 8510 are 2, 5, 23,37. Prime factorization of 8510 in exponential form is:

8510 = 21×51×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8506 and 8510.

LCM(8506,8510) = 21×51×231×371×42531
LCM(8506,8510) = 36193030

Factors of 8506

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

1, 2, 4253, 8506

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510

Least Common Multiple of 8506 and 8510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8506 and 8510, than apply into the LCM equation.

GCF(8506,8510) = 2
LCM(8506,8510) = ( 8506 × 8510) / 2
LCM(8506,8510) = 72386060 / 2
LCM(8506,8510) = 36193030

Properties of LCM 8506 and 8510

(i) The LCM of 8510 and 8506 is associative

LCM of 8506 and 8510 = LCM of 8510 and 8506

Related Least Common Multiples of 8506

Related Least Common Multiples of 8510

Frequently Asked Questions on LCM of 8506 and 8510

1. What is the LCM of 8506 and 8510?

Answer: LCM of 8506 and 8510 is 36193030.

2. 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.

3. What are the Factors of 8510?

Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.

4. How to Find the LCM of 8506 and 8510?

Answer:

Least Common Multiple of 8506 and 8510 = 36193030

Step 1: Find the prime factorization of 8506

8506 = 2 x 4253

Step 2: Find the prime factorization of 8510

8510 = 2 x 5 x 23 x 37

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

LCM = 36193030 = 2 x 5 x 23 x 37 x 4253

Step 4: Therefore, the least common multiple of 8506 and 8510 is 36193030.