Least Common Multiple of 486 and 493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 486 and 493 the smallest integer that is 239598 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 493 is 239598.

LCM(486,493) = 239598

LCM of 486 and 493

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

LCM of:
and

Least Common Multiple of 486 and 493

LCM of 486 and 493 is 239598

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 493. First we will calculate the prime factors of 486 and 493.

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

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

Now multiplying the highest exponent prime factors to calculate the LCM of 486 and 493.

LCM(486,493) = 21×35×171×291
LCM(486,493) = 239598

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Factors of 493

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

1, 17, 29, 493

Least Common Multiple of 486 and 493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 486 and 493, than apply into the LCM equation.

GCF(486,493) = 1
LCM(486,493) = ( 486 × 493) / 1
LCM(486,493) = 239598 / 1
LCM(486,493) = 239598

Properties of LCM 486 and 493

(i) The LCM of 493 and 486 is associative

LCM of 486 and 493 = LCM of 493 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 493

Frequently Asked Questions on LCM of 486 and 493

1. What is the LCM of 486 and 493?

Answer: LCM of 486 and 493 is 239598.

2. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

3. 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.

4. How to Find the LCM of 486 and 493?

Answer:

Least Common Multiple of 486 and 493 = 239598

Step 1: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 493

493 = 17 x 29

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

LCM = 239598 = 2 x 3 x 3 x 3 x 3 x 3 x 17 x 29

Step 4: Therefore, the least common multiple of 486 and 493 is 239598.