Least Common Multiple of 487 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 487 and 489 the smallest integer that is 238143 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 489 is 238143.

LCM(487,489) = 238143

LCM of 487 and 489

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

LCM of:
and

Least Common Multiple of 487 and 489

LCM of 487 and 489 is 238143

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 489. First we will calculate the prime factors of 487 and 489.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

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 487 and 489.

LCM(487,489) = 31×1631×4871
LCM(487,489) = 238143

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

Factors of 489

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

1, 3, 163, 489

Least Common Multiple of 487 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 487 and 489, than apply into the LCM equation.

GCF(487,489) = 1
LCM(487,489) = ( 487 × 489) / 1
LCM(487,489) = 238143 / 1
LCM(487,489) = 238143

Properties of LCM 487 and 489

(i) The LCM of 489 and 487 is associative

LCM of 487 and 489 = LCM of 489 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 489

Frequently Asked Questions on LCM of 487 and 489

1. What is the LCM of 487 and 489?

Answer: LCM of 487 and 489 is 238143.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

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 487 and 489?

Answer:

Least Common Multiple of 487 and 489 = 238143

Step 1: Find the prime factorization of 487

487 = 487

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 = 238143 = 3 x 163 x 487

Step 4: Therefore, the least common multiple of 487 and 489 is 238143.