Least Common Multiple of 8504 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 8504 and 8510 the smallest integer that is 36184520 that is divisible by both numbers.

Least Common Multiple (LCM) of 8504 and 8510 is 36184520.

LCM(8504,8510) = 36184520

LCM of 8504 and 8510

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

LCM of:
and

Least Common Multiple of 8504 and 8510

LCM of 8504 and 8510 is 36184520

Least common multiple can be found by multiplying the highest exponent prime factors of 8504 and 8510. First we will calculate the prime factors of 8504 and 8510.

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

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 8504 and 8510.

LCM(8504,8510) = 23×51×231×371×10631
LCM(8504,8510) = 36184520

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1, 2, 4, 8, 1063, 2126, 4252, 8504

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 8504 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 8504 and 8510, than apply into the LCM equation.

GCF(8504,8510) = 2
LCM(8504,8510) = ( 8504 × 8510) / 2
LCM(8504,8510) = 72369040 / 2
LCM(8504,8510) = 36184520

Properties of LCM 8504 and 8510

(i) The LCM of 8510 and 8504 is associative

LCM of 8504 and 8510 = LCM of 8510 and 8504

Related Least Common Multiples of 8504

Related Least Common Multiples of 8510

Frequently Asked Questions on LCM of 8504 and 8510

1. What is the LCM of 8504 and 8510?

Answer: LCM of 8504 and 8510 is 36184520.

2. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

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 8504 and 8510?

Answer:

Least Common Multiple of 8504 and 8510 = 36184520

Step 1: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

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 = 36184520 = 2 x 2 x 2 x 5 x 23 x 37 x 1063

Step 4: Therefore, the least common multiple of 8504 and 8510 is 36184520.