Least Common Multiple of 8500 and 8503

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 8503 the smallest integer that is 72275500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8500 and 8503 is 72275500.

LCM(8500,8503) = 72275500

LCM of 8500 and 8503

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

LCM of:
and

Least Common Multiple of 8500 and 8503

LCM of 8500 and 8503 is 72275500

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8503. First we will calculate the prime factors of 8500 and 8503.

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 8503


11 8503
773 773
1

Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:

8503 = 111×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8503.

LCM(8500,8503) = 22×53×111×171×7731
LCM(8500,8503) = 72275500

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 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1, 11, 773, 8503

Least Common Multiple of 8500 and 8503 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 8503, than apply into the LCM equation.

GCF(8500,8503) = 1
LCM(8500,8503) = ( 8500 × 8503) / 1
LCM(8500,8503) = 72275500 / 1
LCM(8500,8503) = 72275500

Properties of LCM 8500 and 8503

(i) The LCM of 8503 and 8500 is associative

LCM of 8500 and 8503 = LCM of 8503 and 8500

Related Least Common Multiples of 8500

Related Least Common Multiples of 8503

Frequently Asked Questions on LCM of 8500 and 8503

1. What is the LCM of 8500 and 8503?

Answer: LCM of 8500 and 8503 is 72275500.

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 8503?

Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.

4. How to Find the LCM of 8500 and 8503?

Answer:

Least Common Multiple of 8500 and 8503 = 72275500

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 8503

8503 = 11 x 773

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

LCM = 72275500 = 2 x 2 x 5 x 5 x 5 x 11 x 17 x 773

Step 4: Therefore, the least common multiple of 8500 and 8503 is 72275500.