Least Common Multiple of 9476 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 9476 and 9481 the smallest integer that is 89841956 that is divisible by both numbers.

Least Common Multiple (LCM) of 9476 and 9481 is 89841956.

LCM(9476,9481) = 89841956

LCM of 9476 and 9481

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

LCM of:
and

Least Common Multiple of 9476 and 9481

LCM of 9476 and 9481 is 89841956

Least common multiple can be found by multiplying the highest exponent prime factors of 9476 and 9481. First we will calculate the prime factors of 9476 and 9481.

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 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 9476 and 9481.

LCM(9476,9481) = 22×191×231×1031×4991
LCM(9476,9481) = 89841956

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 9481

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

1, 19, 499, 9481

Least Common Multiple of 9476 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 9476 and 9481, than apply into the LCM equation.

GCF(9476,9481) = 1
LCM(9476,9481) = ( 9476 × 9481) / 1
LCM(9476,9481) = 89841956 / 1
LCM(9476,9481) = 89841956

Properties of LCM 9476 and 9481

(i) The LCM of 9481 and 9476 is associative

LCM of 9476 and 9481 = LCM of 9481 and 9476

Related Least Common Multiples of 9476

Related Least Common Multiples of 9481

Frequently Asked Questions on LCM of 9476 and 9481

1. What is the LCM of 9476 and 9481?

Answer: LCM of 9476 and 9481 is 89841956.

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 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 9476 and 9481?

Answer:

Least Common Multiple of 9476 and 9481 = 89841956

Step 1: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

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 = 89841956 = 2 x 2 x 19 x 23 x 103 x 499

Step 4: Therefore, the least common multiple of 9476 and 9481 is 89841956.