Least Common Multiple of 8475 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 8475 and 8482 the smallest integer that is 71884950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8475 and 8482 is 71884950.

LCM(8475,8482) = 71884950

LCM of 8475 and 8482

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

LCM of:
and

Least Common Multiple of 8475 and 8482

LCM of 8475 and 8482 is 71884950

Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8482. First we will calculate the prime factors of 8475 and 8482.

Prime Factorization of 8475


3 8475
5 2825
5 565
113 113
1

Prime factors of 8475 are 3, 5,113. Prime factorization of 8475 in exponential form is:

8475 = 31×52×1131

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 8475 and 8482.

LCM(8475,8482) = 21×31×52×1131×42411
LCM(8475,8482) = 71884950

Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475

Factors of 8482

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

1, 2, 4241, 8482

Least Common Multiple of 8475 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 8475 and 8482, than apply into the LCM equation.

GCF(8475,8482) = 1
LCM(8475,8482) = ( 8475 × 8482) / 1
LCM(8475,8482) = 71884950 / 1
LCM(8475,8482) = 71884950

Properties of LCM 8475 and 8482

(i) The LCM of 8482 and 8475 is associative

LCM of 8475 and 8482 = LCM of 8482 and 8475

Related Least Common Multiples of 8475

Related Least Common Multiples of 8482

Frequently Asked Questions on LCM of 8475 and 8482

1. What is the LCM of 8475 and 8482?

Answer: LCM of 8475 and 8482 is 71884950.

2. What are the Factors of 8475?

Answer: Factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475. There are 12 integers that are factors of 8475. The greatest factor of 8475 is 8475.

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 8475 and 8482?

Answer:

Least Common Multiple of 8475 and 8482 = 71884950

Step 1: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

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 = 71884950 = 2 x 3 x 5 x 5 x 113 x 4241

Step 4: Therefore, the least common multiple of 8475 and 8482 is 71884950.