Least Common Multiple of 483 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 483 and 489 the smallest integer that is 78729 that is divisible by both numbers.

Least Common Multiple (LCM) of 483 and 489 is 78729.

LCM(483,489) = 78729

LCM of 483 and 489

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

LCM of:
and

Least Common Multiple of 483 and 489

LCM of 483 and 489 is 78729

Least common multiple can be found by multiplying the highest exponent prime factors of 483 and 489. First we will calculate the prime factors of 483 and 489.

Prime Factorization of 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

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 483 and 489.

LCM(483,489) = 31×71×231×1631
LCM(483,489) = 78729

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Factors of 489

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

1, 3, 163, 489

Least Common Multiple of 483 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 483 and 489, than apply into the LCM equation.

GCF(483,489) = 3
LCM(483,489) = ( 483 × 489) / 3
LCM(483,489) = 236187 / 3
LCM(483,489) = 78729

Properties of LCM 483 and 489

(i) The LCM of 489 and 483 is associative

LCM of 483 and 489 = LCM of 489 and 483

Related Least Common Multiples of 483

Related Least Common Multiples of 489

Frequently Asked Questions on LCM of 483 and 489

1. What is the LCM of 483 and 489?

Answer: LCM of 483 and 489 is 78729.

2. What are the Factors of 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

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 483 and 489?

Answer:

Least Common Multiple of 483 and 489 = 78729

Step 1: Find the prime factorization of 483

483 = 3 x 7 x 23

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 = 78729 = 3 x 7 x 23 x 163

Step 4: Therefore, the least common multiple of 483 and 489 is 78729.