Least Common Multiple of 8500 and 8501

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 8501 the smallest integer that is 72258500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8500 and 8501 is 72258500.

LCM(8500,8501) = 72258500

LCM of 8500 and 8501

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

LCM of:
and

Least Common Multiple of 8500 and 8501

LCM of 8500 and 8501 is 72258500

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8501. First we will calculate the prime factors of 8500 and 8501.

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 8501


8501 8501
1

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 85011

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8501.

LCM(8500,8501) = 22×53×171×85011
LCM(8500,8501) = 72258500

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 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

1, 8501

Least Common Multiple of 8500 and 8501 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 8501, than apply into the LCM equation.

GCF(8500,8501) = 1
LCM(8500,8501) = ( 8500 × 8501) / 1
LCM(8500,8501) = 72258500 / 1
LCM(8500,8501) = 72258500

Properties of LCM 8500 and 8501

(i) The LCM of 8501 and 8500 is associative

LCM of 8500 and 8501 = LCM of 8501 and 8500

Related Least Common Multiples of 8500

Related Least Common Multiples of 8501

Frequently Asked Questions on LCM of 8500 and 8501

1. What is the LCM of 8500 and 8501?

Answer: LCM of 8500 and 8501 is 72258500.

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 8501?

Answer: Factors of 8501 are 1, 8501. There are 2 integers that are factors of 8501. The greatest factor of 8501 is 8501.

4. How to Find the LCM of 8500 and 8501?

Answer:

Least Common Multiple of 8500 and 8501 = 72258500

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 8501

8501 = 8501

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

LCM = 72258500 = 2 x 2 x 5 x 5 x 5 x 17 x 8501

Step 4: Therefore, the least common multiple of 8500 and 8501 is 72258500.