Least Common Multiple of 493 and 499

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 499 the smallest integer that is 246007 that is divisible by both numbers.

Least Common Multiple (LCM) of 493 and 499 is 246007.

LCM(493,499) = 246007

LCM of 493 and 499

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

LCM of:
and

Least Common Multiple of 493 and 499

LCM of 493 and 499 is 246007

Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 499. First we will calculate the prime factors of 493 and 499.

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 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 499.

LCM(493,499) = 171×291×4991
LCM(493,499) = 246007

Factors of 493

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

1, 17, 29, 493

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

Least Common Multiple of 493 and 499 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 499, than apply into the LCM equation.

GCF(493,499) = 1
LCM(493,499) = ( 493 × 499) / 1
LCM(493,499) = 246007 / 1
LCM(493,499) = 246007

Properties of LCM 493 and 499

(i) The LCM of 499 and 493 is associative

LCM of 493 and 499 = LCM of 499 and 493

Related Least Common Multiples of 493

Related Least Common Multiples of 499

Frequently Asked Questions on LCM of 493 and 499

1. What is the LCM of 493 and 499?

Answer: LCM of 493 and 499 is 246007.

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 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

4. How to Find the LCM of 493 and 499?

Answer:

Least Common Multiple of 493 and 499 = 246007

Step 1: Find the prime factorization of 493

493 = 17 x 29

Step 2: Find the prime factorization of 499

499 = 499

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

LCM = 246007 = 17 x 29 x 499

Step 4: Therefore, the least common multiple of 493 and 499 is 246007.