Least Common Multiple of 487 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 487 and 493 the smallest integer that is 240091 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 493 is 240091.

LCM(487,493) = 240091

LCM of 487 and 493

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

LCM of:
and

Least Common Multiple of 487 and 493

LCM of 487 and 493 is 240091

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 493. First we will calculate the prime factors of 487 and 493.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

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 487 and 493.

LCM(487,493) = 171×291×4871
LCM(487,493) = 240091

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

Factors of 493

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

1, 17, 29, 493

Least Common Multiple of 487 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 487 and 493, than apply into the LCM equation.

GCF(487,493) = 1
LCM(487,493) = ( 487 × 493) / 1
LCM(487,493) = 240091 / 1
LCM(487,493) = 240091

Properties of LCM 487 and 493

(i) The LCM of 493 and 487 is associative

LCM of 487 and 493 = LCM of 493 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 493

Frequently Asked Questions on LCM of 487 and 493

1. What is the LCM of 487 and 493?

Answer: LCM of 487 and 493 is 240091.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

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 487 and 493?

Answer:

Least Common Multiple of 487 and 493 = 240091

Step 1: Find the prime factorization of 487

487 = 487

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 = 240091 = 17 x 29 x 487

Step 4: Therefore, the least common multiple of 487 and 493 is 240091.