Least Common Multiple of 9484 and 9491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9484 and 9491 the smallest integer that is 90012644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9484 and 9491 is 90012644.

LCM(9484,9491) = 90012644

LCM of 9484 and 9491

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

LCM of:
and

Least Common Multiple of 9484 and 9491

LCM of 9484 and 9491 is 90012644

Least common multiple can be found by multiplying the highest exponent prime factors of 9484 and 9491. First we will calculate the prime factors of 9484 and 9491.

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

Prime Factorization of 9491


9491 9491
1

Prime factors of 9491 are 9491. Prime factorization of 9491 in exponential form is:

9491 = 94911

Now multiplying the highest exponent prime factors to calculate the LCM of 9484 and 9491.

LCM(9484,9491) = 22×23711×94911
LCM(9484,9491) = 90012644

Factors of 9484

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

1, 2, 4, 2371, 4742, 9484

Factors of 9491

List of positive integer factors of 9491 that divides 9491 without a remainder.

1, 9491

Least Common Multiple of 9484 and 9491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9484 and 9491, than apply into the LCM equation.

GCF(9484,9491) = 1
LCM(9484,9491) = ( 9484 × 9491) / 1
LCM(9484,9491) = 90012644 / 1
LCM(9484,9491) = 90012644

Properties of LCM 9484 and 9491

(i) The LCM of 9491 and 9484 is associative

LCM of 9484 and 9491 = LCM of 9491 and 9484

Related Least Common Multiples of 9484

Related Least Common Multiples of 9491

Frequently Asked Questions on LCM of 9484 and 9491

1. What is the LCM of 9484 and 9491?

Answer: LCM of 9484 and 9491 is 90012644.

2. 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.

3. What are the Factors of 9491?

Answer: Factors of 9491 are 1, 9491. There are 2 integers that are factors of 9491. The greatest factor of 9491 is 9491.

4. How to Find the LCM of 9484 and 9491?

Answer:

Least Common Multiple of 9484 and 9491 = 90012644

Step 1: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

Step 2: Find the prime factorization of 9491

9491 = 9491

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

LCM = 90012644 = 2 x 2 x 2371 x 9491

Step 4: Therefore, the least common multiple of 9484 and 9491 is 90012644.