Least Common Multiple of 9477 and 9484

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 9484 the smallest integer that is 89879868 that is divisible by both numbers.

Least Common Multiple (LCM) of 9477 and 9484 is 89879868.

LCM(9477,9484) = 89879868

LCM of 9477 and 9484

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

LCM of:
and

Least Common Multiple of 9477 and 9484

LCM of 9477 and 9484 is 89879868

Least common multiple can be found by multiplying the highest exponent prime factors of 9477 and 9484. First we will calculate the prime factors of 9477 and 9484.

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 9484


2 9484
2 4742
2371 2371
1

Prime factors of 9484 are 2,2371. Prime factorization of 9484 in exponential form is:

9484 = 22×23711

Now multiplying the highest exponent prime factors to calculate the LCM of 9477 and 9484.

LCM(9477,9484) = 22×36×131×23711
LCM(9477,9484) = 89879868

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 9484

List of positive integer factors of 9484 that divides 9484 without a remainder.

1, 2, 4, 2371, 4742, 9484

Least Common Multiple of 9477 and 9484 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 9484, than apply into the LCM equation.

GCF(9477,9484) = 1
LCM(9477,9484) = ( 9477 × 9484) / 1
LCM(9477,9484) = 89879868 / 1
LCM(9477,9484) = 89879868

Properties of LCM 9477 and 9484

(i) The LCM of 9484 and 9477 is associative

LCM of 9477 and 9484 = LCM of 9484 and 9477

Related Least Common Multiples of 9477

Related Least Common Multiples of 9484

Frequently Asked Questions on LCM of 9477 and 9484

1. What is the LCM of 9477 and 9484?

Answer: LCM of 9477 and 9484 is 89879868.

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 9484?

Answer: Factors of 9484 are 1, 2, 4, 2371, 4742, 9484. There are 6 integers that are factors of 9484. The greatest factor of 9484 is 9484.

4. How to Find the LCM of 9477 and 9484?

Answer:

Least Common Multiple of 9477 and 9484 = 89879868

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 9484

9484 = 2 x 2 x 2371

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

LCM = 89879868 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 2371

Step 4: Therefore, the least common multiple of 9477 and 9484 is 89879868.