Least Common Multiple of 9477 and 9481

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 9481 the smallest integer that is 89851437 that is divisible by both numbers.

Least Common Multiple (LCM) of 9477 and 9481 is 89851437.

LCM(9477,9481) = 89851437

LCM of 9477 and 9481

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

LCM of:
and

Least Common Multiple of 9477 and 9481

LCM of 9477 and 9481 is 89851437

Least common multiple can be found by multiplying the highest exponent prime factors of 9477 and 9481. First we will calculate the prime factors of 9477 and 9481.

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 9481


19 9481
499 499
1

Prime factors of 9481 are 19,499. Prime factorization of 9481 in exponential form is:

9481 = 191×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 9477 and 9481.

LCM(9477,9481) = 36×131×191×4991
LCM(9477,9481) = 89851437

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 9481

List of positive integer factors of 9481 that divides 9481 without a remainder.

1, 19, 499, 9481

Least Common Multiple of 9477 and 9481 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 9481, than apply into the LCM equation.

GCF(9477,9481) = 1
LCM(9477,9481) = ( 9477 × 9481) / 1
LCM(9477,9481) = 89851437 / 1
LCM(9477,9481) = 89851437

Properties of LCM 9477 and 9481

(i) The LCM of 9481 and 9477 is associative

LCM of 9477 and 9481 = LCM of 9481 and 9477

Related Least Common Multiples of 9477

Related Least Common Multiples of 9481

Frequently Asked Questions on LCM of 9477 and 9481

1. What is the LCM of 9477 and 9481?

Answer: LCM of 9477 and 9481 is 89851437.

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 9481?

Answer: Factors of 9481 are 1, 19, 499, 9481. There are 4 integers that are factors of 9481. The greatest factor of 9481 is 9481.

4. How to Find the LCM of 9477 and 9481?

Answer:

Least Common Multiple of 9477 and 9481 = 89851437

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 9481

9481 = 19 x 499

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

LCM = 89851437 = 3 x 3 x 3 x 3 x 3 x 3 x 13 x 19 x 499

Step 4: Therefore, the least common multiple of 9477 and 9481 is 89851437.