Least Common Multiple of 9482 and 9489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9482 and 9489 the smallest integer that is 89974698 that is divisible by both numbers.

Least Common Multiple (LCM) of 9482 and 9489 is 89974698.

LCM(9482,9489) = 89974698

LCM of 9482 and 9489

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

LCM of:
and

Least Common Multiple of 9482 and 9489

LCM of 9482 and 9489 is 89974698

Least common multiple can be found by multiplying the highest exponent prime factors of 9482 and 9489. First we will calculate the prime factors of 9482 and 9489.

Prime Factorization of 9482


2 9482
11 4741
431 431
1

Prime factors of 9482 are 2, 11,431. Prime factorization of 9482 in exponential form is:

9482 = 21×111×4311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9482 and 9489.

LCM(9482,9489) = 21×31×111×4311×31631
LCM(9482,9489) = 89974698

Factors of 9482

List of positive integer factors of 9482 that divides 9482 without a remainder.

1, 2, 11, 22, 431, 862, 4741, 9482

Factors of 9489

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

1, 3, 3163, 9489

Least Common Multiple of 9482 and 9489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9482 and 9489, than apply into the LCM equation.

GCF(9482,9489) = 1
LCM(9482,9489) = ( 9482 × 9489) / 1
LCM(9482,9489) = 89974698 / 1
LCM(9482,9489) = 89974698

Properties of LCM 9482 and 9489

(i) The LCM of 9489 and 9482 is associative

LCM of 9482 and 9489 = LCM of 9489 and 9482

Related Least Common Multiples of 9482

Related Least Common Multiples of 9489

Frequently Asked Questions on LCM of 9482 and 9489

1. What is the LCM of 9482 and 9489?

Answer: LCM of 9482 and 9489 is 89974698.

2. What are the Factors of 9482?

Answer: Factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482. There are 8 integers that are factors of 9482. The greatest factor of 9482 is 9482.

3. 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.

4. How to Find the LCM of 9482 and 9489?

Answer:

Least Common Multiple of 9482 and 9489 = 89974698

Step 1: Find the prime factorization of 9482

9482 = 2 x 11 x 431

Step 2: Find the prime factorization of 9489

9489 = 3 x 3163

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

LCM = 89974698 = 2 x 3 x 11 x 431 x 3163

Step 4: Therefore, the least common multiple of 9482 and 9489 is 89974698.