Least Common Multiple of 8474 and 8482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8474 and 8482 the smallest integer that is 35938234 that is divisible by both numbers.

Least Common Multiple (LCM) of 8474 and 8482 is 35938234.

LCM(8474,8482) = 35938234

LCM of 8474 and 8482

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

LCM of:
and

Least Common Multiple of 8474 and 8482

LCM of 8474 and 8482 is 35938234

Least common multiple can be found by multiplying the highest exponent prime factors of 8474 and 8482. First we will calculate the prime factors of 8474 and 8482.

Prime Factorization of 8474


2 8474
19 4237
223 223
1

Prime factors of 8474 are 2, 19,223. Prime factorization of 8474 in exponential form is:

8474 = 21×191×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8474 and 8482.

LCM(8474,8482) = 21×191×2231×42411
LCM(8474,8482) = 35938234

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1, 2, 19, 38, 223, 446, 4237, 8474

Factors of 8482

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

1, 2, 4241, 8482

Least Common Multiple of 8474 and 8482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8474 and 8482, than apply into the LCM equation.

GCF(8474,8482) = 2
LCM(8474,8482) = ( 8474 × 8482) / 2
LCM(8474,8482) = 71876468 / 2
LCM(8474,8482) = 35938234

Properties of LCM 8474 and 8482

(i) The LCM of 8482 and 8474 is associative

LCM of 8474 and 8482 = LCM of 8482 and 8474

Related Least Common Multiples of 8474

Related Least Common Multiples of 8482

Frequently Asked Questions on LCM of 8474 and 8482

1. What is the LCM of 8474 and 8482?

Answer: LCM of 8474 and 8482 is 35938234.

2. What are the Factors of 8474?

Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.

3. 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.

4. How to Find the LCM of 8474 and 8482?

Answer:

Least Common Multiple of 8474 and 8482 = 35938234

Step 1: Find the prime factorization of 8474

8474 = 2 x 19 x 223

Step 2: Find the prime factorization of 8482

8482 = 2 x 4241

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

LCM = 35938234 = 2 x 19 x 223 x 4241

Step 4: Therefore, the least common multiple of 8474 and 8482 is 35938234.