Least Common Multiple of 484 and 487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 484 and 487 the smallest integer that is 235708 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 487 is 235708.

LCM(484,487) = 235708

LCM of 484 and 487

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

LCM of:
and

Least Common Multiple of 484 and 487

LCM of 484 and 487 is 235708

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 487. First we will calculate the prime factors of 484 and 487.

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Prime Factorization of 487


487 487
1

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

487 = 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 487.

LCM(484,487) = 22×112×4871
LCM(484,487) = 235708

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Factors of 487

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

1, 487

Least Common Multiple of 484 and 487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 484 and 487, than apply into the LCM equation.

GCF(484,487) = 1
LCM(484,487) = ( 484 × 487) / 1
LCM(484,487) = 235708 / 1
LCM(484,487) = 235708

Properties of LCM 484 and 487

(i) The LCM of 487 and 484 is associative

LCM of 484 and 487 = LCM of 487 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 487

Frequently Asked Questions on LCM of 484 and 487

1. What is the LCM of 484 and 487?

Answer: LCM of 484 and 487 is 235708.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

3. 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.

4. How to Find the LCM of 484 and 487?

Answer:

Least Common Multiple of 484 and 487 = 235708

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 487

487 = 487

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

LCM = 235708 = 2 x 2 x 11 x 11 x 487

Step 4: Therefore, the least common multiple of 484 and 487 is 235708.