Least Common Multiple of 8500 and 8504

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 8504 the smallest integer that is 18071000 that is divisible by both numbers.

Least Common Multiple (LCM) of 8500 and 8504 is 18071000.

LCM(8500,8504) = 18071000

LCM of 8500 and 8504

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

LCM of:
and

Least Common Multiple of 8500 and 8504

LCM of 8500 and 8504 is 18071000

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8504. First we will calculate the prime factors of 8500 and 8504.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8504.

LCM(8500,8504) = 23×53×171×10631
LCM(8500,8504) = 18071000

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 8504

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

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

Least Common Multiple of 8500 and 8504 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 8504, than apply into the LCM equation.

GCF(8500,8504) = 4
LCM(8500,8504) = ( 8500 × 8504) / 4
LCM(8500,8504) = 72284000 / 4
LCM(8500,8504) = 18071000

Properties of LCM 8500 and 8504

(i) The LCM of 8504 and 8500 is associative

LCM of 8500 and 8504 = LCM of 8504 and 8500

Related Least Common Multiples of 8500

Related Least Common Multiples of 8504

Frequently Asked Questions on LCM of 8500 and 8504

1. What is the LCM of 8500 and 8504?

Answer: LCM of 8500 and 8504 is 18071000.

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 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.

4. How to Find the LCM of 8500 and 8504?

Answer:

Least Common Multiple of 8500 and 8504 = 18071000

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 8504

8504 = 2 x 2 x 2 x 1063

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

LCM = 18071000 = 2 x 2 x 2 x 5 x 5 x 5 x 17 x 1063

Step 4: Therefore, the least common multiple of 8500 and 8504 is 18071000.