Least Common Multiple of 8492 and 8500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8492 and 8500 the smallest integer that is 18045500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8492 and 8500 is 18045500.

LCM(8492,8500) = 18045500

LCM of 8492 and 8500

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

LCM of:
and

Least Common Multiple of 8492 and 8500

LCM of 8492 and 8500 is 18045500

Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8500. First we will calculate the prime factors of 8492 and 8500.

Prime Factorization of 8492


2 8492
2 4246
11 2123
193 193
1

Prime factors of 8492 are 2, 11,193. Prime factorization of 8492 in exponential form is:

8492 = 22×111×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8500.

LCM(8492,8500) = 22×53×111×171×1931
LCM(8492,8500) = 18045500

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492

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

Least Common Multiple of 8492 and 8500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8492 and 8500, than apply into the LCM equation.

GCF(8492,8500) = 4
LCM(8492,8500) = ( 8492 × 8500) / 4
LCM(8492,8500) = 72182000 / 4
LCM(8492,8500) = 18045500

Properties of LCM 8492 and 8500

(i) The LCM of 8500 and 8492 is associative

LCM of 8492 and 8500 = LCM of 8500 and 8492

Related Least Common Multiples of 8492

Related Least Common Multiples of 8500

Frequently Asked Questions on LCM of 8492 and 8500

1. What is the LCM of 8492 and 8500?

Answer: LCM of 8492 and 8500 is 18045500.

2. What are the Factors of 8492?

Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.

3. 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.

4. How to Find the LCM of 8492 and 8500?

Answer:

Least Common Multiple of 8492 and 8500 = 18045500

Step 1: Find the prime factorization of 8492

8492 = 2 x 2 x 11 x 193

Step 2: Find the prime factorization of 8500

8500 = 2 x 2 x 5 x 5 x 5 x 17

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

LCM = 18045500 = 2 x 2 x 5 x 5 x 5 x 11 x 17 x 193

Step 4: Therefore, the least common multiple of 8492 and 8500 is 18045500.