Least Common Multiple of 9476 and 9477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9476 and 9477 the smallest integer that is 89804052 that is divisible by both numbers.

Least Common Multiple (LCM) of 9476 and 9477 is 89804052.

LCM(9476,9477) = 89804052

LCM of 9476 and 9477

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

LCM of:
and

Least Common Multiple of 9476 and 9477

LCM of 9476 and 9477 is 89804052

Least common multiple can be found by multiplying the highest exponent prime factors of 9476 and 9477. First we will calculate the prime factors of 9476 and 9477.

Prime Factorization of 9476


2 9476
2 4738
23 2369
103 103
1

Prime factors of 9476 are 2, 23,103. Prime factorization of 9476 in exponential form is:

9476 = 22×231×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9476 and 9477.

LCM(9476,9477) = 22×36×131×231×1031
LCM(9476,9477) = 89804052

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476

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

Least Common Multiple of 9476 and 9477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9476 and 9477, than apply into the LCM equation.

GCF(9476,9477) = 1
LCM(9476,9477) = ( 9476 × 9477) / 1
LCM(9476,9477) = 89804052 / 1
LCM(9476,9477) = 89804052

Properties of LCM 9476 and 9477

(i) The LCM of 9477 and 9476 is associative

LCM of 9476 and 9477 = LCM of 9477 and 9476

Related Least Common Multiples of 9476

Related Least Common Multiples of 9477

Frequently Asked Questions on LCM of 9476 and 9477

1. What is the LCM of 9476 and 9477?

Answer: LCM of 9476 and 9477 is 89804052.

2. What are the Factors of 9476?

Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.

3. 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.

4. How to Find the LCM of 9476 and 9477?

Answer:

Least Common Multiple of 9476 and 9477 = 89804052

Step 1: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

Step 2: Find the prime factorization of 9477

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

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

LCM = 89804052 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 23 x 103

Step 4: Therefore, the least common multiple of 9476 and 9477 is 89804052.