Least Common Multiple of 8493 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 8493 and 8500 the smallest integer that is 72190500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8493 and 8500 is 72190500.

LCM(8493,8500) = 72190500

LCM of 8493 and 8500

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

LCM of:
and

Least Common Multiple of 8493 and 8500

LCM of 8493 and 8500 is 72190500

Least common multiple can be found by multiplying the highest exponent prime factors of 8493 and 8500. First we will calculate the prime factors of 8493 and 8500.

Prime Factorization of 8493


3 8493
19 2831
149 149
1

Prime factors of 8493 are 3, 19,149. Prime factorization of 8493 in exponential form is:

8493 = 31×191×1491

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 8493 and 8500.

LCM(8493,8500) = 22×31×53×171×191×1491
LCM(8493,8500) = 72190500

Factors of 8493

List of positive integer factors of 8493 that divides 8493 without a remainder.

1, 3, 19, 57, 149, 447, 2831, 8493

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 8493 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 8493 and 8500, than apply into the LCM equation.

GCF(8493,8500) = 1
LCM(8493,8500) = ( 8493 × 8500) / 1
LCM(8493,8500) = 72190500 / 1
LCM(8493,8500) = 72190500

Properties of LCM 8493 and 8500

(i) The LCM of 8500 and 8493 is associative

LCM of 8493 and 8500 = LCM of 8500 and 8493

Related Least Common Multiples of 8493

Related Least Common Multiples of 8500

Frequently Asked Questions on LCM of 8493 and 8500

1. What is the LCM of 8493 and 8500?

Answer: LCM of 8493 and 8500 is 72190500.

2. What are the Factors of 8493?

Answer: Factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493. There are 8 integers that are factors of 8493. The greatest factor of 8493 is 8493.

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 8493 and 8500?

Answer:

Least Common Multiple of 8493 and 8500 = 72190500

Step 1: Find the prime factorization of 8493

8493 = 3 x 19 x 149

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 = 72190500 = 2 x 2 x 3 x 5 x 5 x 5 x 17 x 19 x 149

Step 4: Therefore, the least common multiple of 8493 and 8500 is 72190500.