Least Common Multiple of 8482 and 8487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8482 and 8487 the smallest integer that is 71986734 that is divisible by both numbers.

Least Common Multiple (LCM) of 8482 and 8487 is 71986734.

LCM(8482,8487) = 71986734

LCM of 8482 and 8487

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

LCM of:
and

Least Common Multiple of 8482 and 8487

LCM of 8482 and 8487 is 71986734

Least common multiple can be found by multiplying the highest exponent prime factors of 8482 and 8487. First we will calculate the prime factors of 8482 and 8487.

Prime Factorization of 8482


2 8482
4241 4241
1

Prime factors of 8482 are 2,4241. Prime factorization of 8482 in exponential form is:

8482 = 21×42411

Prime Factorization of 8487


3 8487
3 2829
23 943
41 41
1

Prime factors of 8487 are 3, 23,41. Prime factorization of 8487 in exponential form is:

8487 = 32×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8482 and 8487.

LCM(8482,8487) = 21×32×231×411×42411
LCM(8482,8487) = 71986734

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1, 2, 4241, 8482

Factors of 8487

List of positive integer factors of 8487 that divides 8487 without a remainder.

1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487

Least Common Multiple of 8482 and 8487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8482 and 8487, than apply into the LCM equation.

GCF(8482,8487) = 1
LCM(8482,8487) = ( 8482 × 8487) / 1
LCM(8482,8487) = 71986734 / 1
LCM(8482,8487) = 71986734

Properties of LCM 8482 and 8487

(i) The LCM of 8487 and 8482 is associative

LCM of 8482 and 8487 = LCM of 8487 and 8482

Related Least Common Multiples of 8482

Related Least Common Multiples of 8487

Frequently Asked Questions on LCM of 8482 and 8487

1. What is the LCM of 8482 and 8487?

Answer: LCM of 8482 and 8487 is 71986734.

2. What are the Factors of 8482?

Answer: Factors of 8482 are 1, 2, 4241, 8482. There are 4 integers that are factors of 8482. The greatest factor of 8482 is 8482.

3. What are the Factors of 8487?

Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.

4. How to Find the LCM of 8482 and 8487?

Answer:

Least Common Multiple of 8482 and 8487 = 71986734

Step 1: Find the prime factorization of 8482

8482 = 2 x 4241

Step 2: Find the prime factorization of 8487

8487 = 3 x 3 x 23 x 41

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

LCM = 71986734 = 2 x 3 x 3 x 23 x 41 x 4241

Step 4: Therefore, the least common multiple of 8482 and 8487 is 71986734.