Least Common Multiple of 8507 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 8507 and 8510 the smallest integer that is 72394570 that is divisible by both numbers.

Least Common Multiple (LCM) of 8507 and 8510 is 72394570.

LCM(8507,8510) = 72394570

LCM of 8507 and 8510

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

LCM of:
and

Least Common Multiple of 8507 and 8510

LCM of 8507 and 8510 is 72394570

Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8510. First we will calculate the prime factors of 8507 and 8510.

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

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 8507 and 8510.

LCM(8507,8510) = 21×51×231×371×471×1811
LCM(8507,8510) = 72394570

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1, 47, 181, 8507

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 8507 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 8507 and 8510, than apply into the LCM equation.

GCF(8507,8510) = 1
LCM(8507,8510) = ( 8507 × 8510) / 1
LCM(8507,8510) = 72394570 / 1
LCM(8507,8510) = 72394570

Properties of LCM 8507 and 8510

(i) The LCM of 8510 and 8507 is associative

LCM of 8507 and 8510 = LCM of 8510 and 8507

Related Least Common Multiples of 8507

Related Least Common Multiples of 8510

Frequently Asked Questions on LCM of 8507 and 8510

1. What is the LCM of 8507 and 8510?

Answer: LCM of 8507 and 8510 is 72394570.

2. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

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 8507 and 8510?

Answer:

Least Common Multiple of 8507 and 8510 = 72394570

Step 1: Find the prime factorization of 8507

8507 = 47 x 181

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 = 72394570 = 2 x 5 x 23 x 37 x 47 x 181

Step 4: Therefore, the least common multiple of 8507 and 8510 is 72394570.