Least Common Multiple of 9476 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 9476 and 9484 the smallest integer that is 22467596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9476 and 9484 is 22467596.

LCM(9476,9484) = 22467596

LCM of 9476 and 9484

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

LCM of:
and

Least Common Multiple of 9476 and 9484

LCM of 9476 and 9484 is 22467596

Least common multiple can be found by multiplying the highest exponent prime factors of 9476 and 9484. First we will calculate the prime factors of 9476 and 9484.

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 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 9476 and 9484.

LCM(9476,9484) = 22×231×1031×23711
LCM(9476,9484) = 22467596

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 9484

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

1, 2, 4, 2371, 4742, 9484

Least Common Multiple of 9476 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 9476 and 9484, than apply into the LCM equation.

GCF(9476,9484) = 4
LCM(9476,9484) = ( 9476 × 9484) / 4
LCM(9476,9484) = 89870384 / 4
LCM(9476,9484) = 22467596

Properties of LCM 9476 and 9484

(i) The LCM of 9484 and 9476 is associative

LCM of 9476 and 9484 = LCM of 9484 and 9476

Related Least Common Multiples of 9476

Related Least Common Multiples of 9484

Frequently Asked Questions on LCM of 9476 and 9484

1. What is the LCM of 9476 and 9484?

Answer: LCM of 9476 and 9484 is 22467596.

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 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 9476 and 9484?

Answer:

Least Common Multiple of 9476 and 9484 = 22467596

Step 1: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

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 = 22467596 = 2 x 2 x 23 x 103 x 2371

Step 4: Therefore, the least common multiple of 9476 and 9484 is 22467596.