Least Common Multiple of 489 and 495

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 495 the smallest integer that is 80685 that is divisible by both numbers.

Least Common Multiple (LCM) of 489 and 495 is 80685.

LCM(489,495) = 80685

LCM of 489 and 495

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

LCM of:
and

Least Common Multiple of 489 and 495

LCM of 489 and 495 is 80685

Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 495. First we will calculate the prime factors of 489 and 495.

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 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 489 and 495.

LCM(489,495) = 32×51×111×1631
LCM(489,495) = 80685

Factors of 489

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

1, 3, 163, 489

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Least Common Multiple of 489 and 495 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 495, than apply into the LCM equation.

GCF(489,495) = 3
LCM(489,495) = ( 489 × 495) / 3
LCM(489,495) = 242055 / 3
LCM(489,495) = 80685

Properties of LCM 489 and 495

(i) The LCM of 495 and 489 is associative

LCM of 489 and 495 = LCM of 495 and 489

Related Least Common Multiples of 489

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 489 and 495

1. What is the LCM of 489 and 495?

Answer: LCM of 489 and 495 is 80685.

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 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

4. How to Find the LCM of 489 and 495?

Answer:

Least Common Multiple of 489 and 495 = 80685

Step 1: Find the prime factorization of 489

489 = 3 x 163

Step 2: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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

LCM = 80685 = 3 x 3 x 5 x 11 x 163

Step 4: Therefore, the least common multiple of 489 and 495 is 80685.