Least Common Multiple of 493 and 500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 493 and 500 the smallest integer that is 246500 that is divisible by both numbers.

Least Common Multiple (LCM) of 493 and 500 is 246500.

LCM(493,500) = 246500

LCM of 493 and 500

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

LCM of:
and

Least Common Multiple of 493 and 500

LCM of 493 and 500 is 246500

Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 500. First we will calculate the prime factors of 493 and 500.

Prime Factorization of 493


17 493
29 29
1

Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:

493 = 171×291

Prime Factorization of 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 500.

LCM(493,500) = 22×53×171×291
LCM(493,500) = 246500

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Least Common Multiple of 493 and 500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 493 and 500, than apply into the LCM equation.

GCF(493,500) = 1
LCM(493,500) = ( 493 × 500) / 1
LCM(493,500) = 246500 / 1
LCM(493,500) = 246500

Properties of LCM 493 and 500

(i) The LCM of 500 and 493 is associative

LCM of 493 and 500 = LCM of 500 and 493

Related Least Common Multiples of 493

Related Least Common Multiples of 500

Frequently Asked Questions on LCM of 493 and 500

1. What is the LCM of 493 and 500?

Answer: LCM of 493 and 500 is 246500.

2. What are the Factors of 493?

Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.

3. What are the Factors of 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

4. How to Find the LCM of 493 and 500?

Answer:

Least Common Multiple of 493 and 500 = 246500

Step 1: Find the prime factorization of 493

493 = 17 x 29

Step 2: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

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

LCM = 246500 = 2 x 2 x 5 x 5 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 493 and 500 is 246500.