Least Common Multiple of 9675 and 9681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9675 and 9681 the smallest integer that is 31221225 that is divisible by both numbers.

Least Common Multiple (LCM) of 9675 and 9681 is 31221225.

LCM(9675,9681) = 31221225

LCM of 9675 and 9681

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

LCM of:
and

Least Common Multiple of 9675 and 9681

LCM of 9675 and 9681 is 31221225

Least common multiple can be found by multiplying the highest exponent prime factors of 9675 and 9681. First we will calculate the prime factors of 9675 and 9681.

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3, 5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

Prime Factorization of 9681


3 9681
7 3227
461 461
1

Prime factors of 9681 are 3, 7,461. Prime factorization of 9681 in exponential form is:

9681 = 31×71×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 9675 and 9681.

LCM(9675,9681) = 32×52×71×431×4611
LCM(9675,9681) = 31221225

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675

Factors of 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1, 3, 7, 21, 461, 1383, 3227, 9681

Least Common Multiple of 9675 and 9681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9675 and 9681, than apply into the LCM equation.

GCF(9675,9681) = 3
LCM(9675,9681) = ( 9675 × 9681) / 3
LCM(9675,9681) = 93663675 / 3
LCM(9675,9681) = 31221225

Properties of LCM 9675 and 9681

(i) The LCM of 9681 and 9675 is associative

LCM of 9675 and 9681 = LCM of 9681 and 9675

Related Least Common Multiples of 9675

Related Least Common Multiples of 9681

Frequently Asked Questions on LCM of 9675 and 9681

1. What is the LCM of 9675 and 9681?

Answer: LCM of 9675 and 9681 is 31221225.

2. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

3. What are the Factors of 9681?

Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.

4. How to Find the LCM of 9675 and 9681?

Answer:

Least Common Multiple of 9675 and 9681 = 31221225

Step 1: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 9681

9681 = 3 x 7 x 461

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

LCM = 31221225 = 3 x 3 x 5 x 5 x 7 x 43 x 461

Step 4: Therefore, the least common multiple of 9675 and 9681 is 31221225.