Least Common Multiple of 8502 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 8502 and 8510 the smallest integer that is 36176010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8502 and 8510 is 36176010.

LCM(8502,8510) = 36176010

LCM of 8502 and 8510

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

LCM of:
and

Least Common Multiple of 8502 and 8510

LCM of 8502 and 8510 is 36176010

Least common multiple can be found by multiplying the highest exponent prime factors of 8502 and 8510. First we will calculate the prime factors of 8502 and 8510.

Prime Factorization of 8502


2 8502
3 4251
13 1417
109 109
1

Prime factors of 8502 are 2, 3, 13,109. Prime factorization of 8502 in exponential form is:

8502 = 21×31×131×1091

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 8502 and 8510.

LCM(8502,8510) = 21×31×51×131×231×371×1091
LCM(8502,8510) = 36176010

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

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 8502 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 8502 and 8510, than apply into the LCM equation.

GCF(8502,8510) = 2
LCM(8502,8510) = ( 8502 × 8510) / 2
LCM(8502,8510) = 72352020 / 2
LCM(8502,8510) = 36176010

Properties of LCM 8502 and 8510

(i) The LCM of 8510 and 8502 is associative

LCM of 8502 and 8510 = LCM of 8510 and 8502

Related Least Common Multiples of 8502

Related Least Common Multiples of 8510

Frequently Asked Questions on LCM of 8502 and 8510

1. What is the LCM of 8502 and 8510?

Answer: LCM of 8502 and 8510 is 36176010.

2. What are the Factors of 8502?

Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.

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 8502 and 8510?

Answer:

Least Common Multiple of 8502 and 8510 = 36176010

Step 1: Find the prime factorization of 8502

8502 = 2 x 3 x 13 x 109

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 = 36176010 = 2 x 3 x 5 x 13 x 23 x 37 x 109

Step 4: Therefore, the least common multiple of 8502 and 8510 is 36176010.