Least Common Multiple of 9489 and 9495

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 9495 the smallest integer that is 30032685 that is divisible by both numbers.

Least Common Multiple (LCM) of 9489 and 9495 is 30032685.

LCM(9489,9495) = 30032685

LCM of 9489 and 9495

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

LCM of:
and

Least Common Multiple of 9489 and 9495

LCM of 9489 and 9495 is 30032685

Least common multiple can be found by multiplying the highest exponent prime factors of 9489 and 9495. First we will calculate the prime factors of 9489 and 9495.

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 9495


3 9495
3 3165
5 1055
211 211
1

Prime factors of 9495 are 3, 5,211. Prime factorization of 9495 in exponential form is:

9495 = 32×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9489 and 9495.

LCM(9489,9495) = 32×51×2111×31631
LCM(9489,9495) = 30032685

Factors of 9489

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

1, 3, 3163, 9489

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495

Least Common Multiple of 9489 and 9495 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 9495, than apply into the LCM equation.

GCF(9489,9495) = 3
LCM(9489,9495) = ( 9489 × 9495) / 3
LCM(9489,9495) = 90098055 / 3
LCM(9489,9495) = 30032685

Properties of LCM 9489 and 9495

(i) The LCM of 9495 and 9489 is associative

LCM of 9489 and 9495 = LCM of 9495 and 9489

Related Least Common Multiples of 9489

Related Least Common Multiples of 9495

Frequently Asked Questions on LCM of 9489 and 9495

1. What is the LCM of 9489 and 9495?

Answer: LCM of 9489 and 9495 is 30032685.

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 9495?

Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.

4. How to Find the LCM of 9489 and 9495?

Answer:

Least Common Multiple of 9489 and 9495 = 30032685

Step 1: Find the prime factorization of 9489

9489 = 3 x 3163

Step 2: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

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

LCM = 30032685 = 3 x 3 x 5 x 211 x 3163

Step 4: Therefore, the least common multiple of 9489 and 9495 is 30032685.