Least Common Multiple of 486 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 486 and 489 the smallest integer that is 79218 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 489 is 79218.

LCM(486,489) = 79218

LCM of 486 and 489

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

LCM of:
and

Least Common Multiple of 486 and 489

LCM of 486 and 489 is 79218

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 489. First we will calculate the prime factors of 486 and 489.

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 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 486 and 489.

LCM(486,489) = 21×35×1631
LCM(486,489) = 79218

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 489

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

1, 3, 163, 489

Least Common Multiple of 486 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 486 and 489, than apply into the LCM equation.

GCF(486,489) = 3
LCM(486,489) = ( 486 × 489) / 3
LCM(486,489) = 237654 / 3
LCM(486,489) = 79218

Properties of LCM 486 and 489

(i) The LCM of 489 and 486 is associative

LCM of 486 and 489 = LCM of 489 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 489

Frequently Asked Questions on LCM of 486 and 489

1. What is the LCM of 486 and 489?

Answer: LCM of 486 and 489 is 79218.

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 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 486 and 489?

Answer:

Least Common Multiple of 486 and 489 = 79218

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 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 = 79218 = 2 x 3 x 3 x 3 x 3 x 3 x 163

Step 4: Therefore, the least common multiple of 486 and 489 is 79218.