Least Common Multiple of 9489 and 9496

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 9496 the smallest integer that is 90107544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9489 and 9496 is 90107544.

LCM(9489,9496) = 90107544

LCM of 9489 and 9496

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

LCM of:
and

Least Common Multiple of 9489 and 9496

LCM of 9489 and 9496 is 90107544

Least common multiple can be found by multiplying the highest exponent prime factors of 9489 and 9496. First we will calculate the prime factors of 9489 and 9496.

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 9496


2 9496
2 4748
2 2374
1187 1187
1

Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:

9496 = 23×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 9489 and 9496.

LCM(9489,9496) = 23×31×11871×31631
LCM(9489,9496) = 90107544

Factors of 9489

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

1, 3, 3163, 9489

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1, 2, 4, 8, 1187, 2374, 4748, 9496

Least Common Multiple of 9489 and 9496 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 9496, than apply into the LCM equation.

GCF(9489,9496) = 1
LCM(9489,9496) = ( 9489 × 9496) / 1
LCM(9489,9496) = 90107544 / 1
LCM(9489,9496) = 90107544

Properties of LCM 9489 and 9496

(i) The LCM of 9496 and 9489 is associative

LCM of 9489 and 9496 = LCM of 9496 and 9489

Related Least Common Multiples of 9489

Related Least Common Multiples of 9496

Frequently Asked Questions on LCM of 9489 and 9496

1. What is the LCM of 9489 and 9496?

Answer: LCM of 9489 and 9496 is 90107544.

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 9496?

Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.

4. How to Find the LCM of 9489 and 9496?

Answer:

Least Common Multiple of 9489 and 9496 = 90107544

Step 1: Find the prime factorization of 9489

9489 = 3 x 3163

Step 2: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

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

LCM = 90107544 = 2 x 2 x 2 x 3 x 1187 x 3163

Step 4: Therefore, the least common multiple of 9489 and 9496 is 90107544.