Least Common Multiple of 482 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 482 and 487 the smallest integer that is 234734 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 487 is 234734.

LCM(482,487) = 234734

LCM of 482 and 487

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

LCM of:
and

Least Common Multiple of 482 and 487

LCM of 482 and 487 is 234734

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 487. First we will calculate the prime factors of 482 and 487.

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

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 482 and 487.

LCM(482,487) = 21×2411×4871
LCM(482,487) = 234734

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Factors of 487

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

1, 487

Least Common Multiple of 482 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 482 and 487, than apply into the LCM equation.

GCF(482,487) = 1
LCM(482,487) = ( 482 × 487) / 1
LCM(482,487) = 234734 / 1
LCM(482,487) = 234734

Properties of LCM 482 and 487

(i) The LCM of 487 and 482 is associative

LCM of 482 and 487 = LCM of 487 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 487

Frequently Asked Questions on LCM of 482 and 487

1. What is the LCM of 482 and 487?

Answer: LCM of 482 and 487 is 234734.

2. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

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 482 and 487?

Answer:

Least Common Multiple of 482 and 487 = 234734

Step 1: Find the prime factorization of 482

482 = 2 x 241

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 = 234734 = 2 x 241 x 487

Step 4: Therefore, the least common multiple of 482 and 487 is 234734.