Least Common Multiple of 9489 and 9493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9489 and 9493 the smallest integer that is 90079077 that is divisible by both numbers.

Least Common Multiple (LCM) of 9489 and 9493 is 90079077.

LCM(9489,9493) = 90079077

LCM of 9489 and 9493

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

LCM of:
and

Least Common Multiple of 9489 and 9493

LCM of 9489 and 9493 is 90079077

Least common multiple can be found by multiplying the highest exponent prime factors of 9489 and 9493. First we will calculate the prime factors of 9489 and 9493.

Prime Factorization of 9489


3 9489
3163 3163
1

Prime factors of 9489 are 3,3163. Prime factorization of 9489 in exponential form is:

9489 = 31×31631

Prime Factorization of 9493


11 9493
863 863
1

Prime factors of 9493 are 11,863. Prime factorization of 9493 in exponential form is:

9493 = 111×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 9489 and 9493.

LCM(9489,9493) = 31×111×8631×31631
LCM(9489,9493) = 90079077

Factors of 9489

List of positive integer factors of 9489 that divides 9489 without a remainder.

1, 3, 3163, 9489

Factors of 9493

List of positive integer factors of 9493 that divides 9493 without a remainder.

1, 11, 863, 9493

Least Common Multiple of 9489 and 9493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9489 and 9493, than apply into the LCM equation.

GCF(9489,9493) = 1
LCM(9489,9493) = ( 9489 × 9493) / 1
LCM(9489,9493) = 90079077 / 1
LCM(9489,9493) = 90079077

Properties of LCM 9489 and 9493

(i) The LCM of 9493 and 9489 is associative

LCM of 9489 and 9493 = LCM of 9493 and 9489

Related Least Common Multiples of 9489

Related Least Common Multiples of 9493

Frequently Asked Questions on LCM of 9489 and 9493

1. What is the LCM of 9489 and 9493?

Answer: LCM of 9489 and 9493 is 90079077.

2. What are the Factors of 9489?

Answer: Factors of 9489 are 1, 3, 3163, 9489. There are 4 integers that are factors of 9489. The greatest factor of 9489 is 9489.

3. What are the Factors of 9493?

Answer: Factors of 9493 are 1, 11, 863, 9493. There are 4 integers that are factors of 9493. The greatest factor of 9493 is 9493.

4. How to Find the LCM of 9489 and 9493?

Answer:

Least Common Multiple of 9489 and 9493 = 90079077

Step 1: Find the prime factorization of 9489

9489 = 3 x 3163

Step 2: Find the prime factorization of 9493

9493 = 11 x 863

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

LCM = 90079077 = 3 x 11 x 863 x 3163

Step 4: Therefore, the least common multiple of 9489 and 9493 is 90079077.