Least Common Multiple of 482 and 489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 482 and 489 the smallest integer that is 235698 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 489 is 235698.

LCM(482,489) = 235698

LCM of 482 and 489

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

LCM of:
and

Least Common Multiple of 482 and 489

LCM of 482 and 489 is 235698

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 489. First we will calculate the prime factors of 482 and 489.

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 489.

LCM(482,489) = 21×31×1631×2411
LCM(482,489) = 235698

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Factors of 489

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

1, 3, 163, 489

Least Common Multiple of 482 and 489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 482 and 489, than apply into the LCM equation.

GCF(482,489) = 1
LCM(482,489) = ( 482 × 489) / 1
LCM(482,489) = 235698 / 1
LCM(482,489) = 235698

Properties of LCM 482 and 489

(i) The LCM of 489 and 482 is associative

LCM of 482 and 489 = LCM of 489 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 489

Frequently Asked Questions on LCM of 482 and 489

1. What is the LCM of 482 and 489?

Answer: LCM of 482 and 489 is 235698.

2. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

3. 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.

4. How to Find the LCM of 482 and 489?

Answer:

Least Common Multiple of 482 and 489 = 235698

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 489

489 = 3 x 163

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

LCM = 235698 = 2 x 3 x 163 x 241

Step 4: Therefore, the least common multiple of 482 and 489 is 235698.