Least Common Multiple of 9477 and 9482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9477 and 9482 the smallest integer that is 89860914 that is divisible by both numbers.

Least Common Multiple (LCM) of 9477 and 9482 is 89860914.

LCM(9477,9482) = 89860914

LCM of 9477 and 9482

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

LCM of:
and

Least Common Multiple of 9477 and 9482

LCM of 9477 and 9482 is 89860914

Least common multiple can be found by multiplying the highest exponent prime factors of 9477 and 9482. First we will calculate the prime factors of 9477 and 9482.

Prime Factorization of 9477


3 9477
3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 9477 are 3,13. Prime factorization of 9477 in exponential form is:

9477 = 36×131

Prime Factorization of 9482


2 9482
11 4741
431 431
1

Prime factors of 9482 are 2, 11,431. Prime factorization of 9482 in exponential form is:

9482 = 21×111×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 9477 and 9482.

LCM(9477,9482) = 21×36×111×131×4311
LCM(9477,9482) = 89860914

Factors of 9477

List of positive integer factors of 9477 that divides 9477 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477

Factors of 9482

List of positive integer factors of 9482 that divides 9482 without a remainder.

1, 2, 11, 22, 431, 862, 4741, 9482

Least Common Multiple of 9477 and 9482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9477 and 9482, than apply into the LCM equation.

GCF(9477,9482) = 1
LCM(9477,9482) = ( 9477 × 9482) / 1
LCM(9477,9482) = 89860914 / 1
LCM(9477,9482) = 89860914

Properties of LCM 9477 and 9482

(i) The LCM of 9482 and 9477 is associative

LCM of 9477 and 9482 = LCM of 9482 and 9477

Related Least Common Multiples of 9477

Related Least Common Multiples of 9482

Frequently Asked Questions on LCM of 9477 and 9482

1. What is the LCM of 9477 and 9482?

Answer: LCM of 9477 and 9482 is 89860914.

2. What are the Factors of 9477?

Answer: Factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477. There are 14 integers that are factors of 9477. The greatest factor of 9477 is 9477.

3. What are the Factors of 9482?

Answer: Factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482. There are 8 integers that are factors of 9482. The greatest factor of 9482 is 9482.

4. How to Find the LCM of 9477 and 9482?

Answer:

Least Common Multiple of 9477 and 9482 = 89860914

Step 1: Find the prime factorization of 9477

9477 = 3 x 3 x 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 9482

9482 = 2 x 11 x 431

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

LCM = 89860914 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 13 x 431

Step 4: Therefore, the least common multiple of 9477 and 9482 is 89860914.