Least Common Multiple of 489 and 497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 489 and 497 the smallest integer that is 243033 that is divisible by both numbers.

Least Common Multiple (LCM) of 489 and 497 is 243033.

LCM(489,497) = 243033

LCM of 489 and 497

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

LCM of:
and

Least Common Multiple of 489 and 497

LCM of 489 and 497 is 243033

Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 497. First we will calculate the prime factors of 489 and 497.

Prime Factorization of 489


3 489
163 163
1

Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:

489 = 31×1631

Prime Factorization of 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 489 and 497.

LCM(489,497) = 31×71×711×1631
LCM(489,497) = 243033

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Least Common Multiple of 489 and 497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 489 and 497, than apply into the LCM equation.

GCF(489,497) = 1
LCM(489,497) = ( 489 × 497) / 1
LCM(489,497) = 243033 / 1
LCM(489,497) = 243033

Properties of LCM 489 and 497

(i) The LCM of 497 and 489 is associative

LCM of 489 and 497 = LCM of 497 and 489

Related Least Common Multiples of 489

Related Least Common Multiples of 497

Frequently Asked Questions on LCM of 489 and 497

1. What is the LCM of 489 and 497?

Answer: LCM of 489 and 497 is 243033.

2. What are the Factors of 489?

Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.

3. What are the Factors of 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

4. How to Find the LCM of 489 and 497?

Answer:

Least Common Multiple of 489 and 497 = 243033

Step 1: Find the prime factorization of 489

489 = 3 x 163

Step 2: Find the prime factorization of 497

497 = 7 x 71

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

LCM = 243033 = 3 x 7 x 71 x 163

Step 4: Therefore, the least common multiple of 489 and 497 is 243033.