Least Common Multiple of 9681 and 9686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9681 and 9686 the smallest integer that is 93770166 that is divisible by both numbers.

Least Common Multiple (LCM) of 9681 and 9686 is 93770166.

LCM(9681,9686) = 93770166

LCM of 9681 and 9686

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

LCM of:
and

Least Common Multiple of 9681 and 9686

LCM of 9681 and 9686 is 93770166

Least common multiple can be found by multiplying the highest exponent prime factors of 9681 and 9686. First we will calculate the prime factors of 9681 and 9686.

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

Prime Factorization of 9686


2 9686
29 4843
167 167
1

Prime factors of 9686 are 2, 29,167. Prime factorization of 9686 in exponential form is:

9686 = 21×291×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9681 and 9686.

LCM(9681,9686) = 21×31×71×291×1671×4611
LCM(9681,9686) = 93770166

Factors of 9681

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

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

Factors of 9686

List of positive integer factors of 9686 that divides 9686 without a remainder.

1, 2, 29, 58, 167, 334, 4843, 9686

Least Common Multiple of 9681 and 9686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9681 and 9686, than apply into the LCM equation.

GCF(9681,9686) = 1
LCM(9681,9686) = ( 9681 × 9686) / 1
LCM(9681,9686) = 93770166 / 1
LCM(9681,9686) = 93770166

Properties of LCM 9681 and 9686

(i) The LCM of 9686 and 9681 is associative

LCM of 9681 and 9686 = LCM of 9686 and 9681

Related Least Common Multiples of 9681

Related Least Common Multiples of 9686

Frequently Asked Questions on LCM of 9681 and 9686

1. What is the LCM of 9681 and 9686?

Answer: LCM of 9681 and 9686 is 93770166.

2. 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.

3. What are the Factors of 9686?

Answer: Factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686. There are 8 integers that are factors of 9686. The greatest factor of 9686 is 9686.

4. How to Find the LCM of 9681 and 9686?

Answer:

Least Common Multiple of 9681 and 9686 = 93770166

Step 1: Find the prime factorization of 9681

9681 = 3 x 7 x 461

Step 2: Find the prime factorization of 9686

9686 = 2 x 29 x 167

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

LCM = 93770166 = 2 x 3 x 7 x 29 x 167 x 461

Step 4: Therefore, the least common multiple of 9681 and 9686 is 93770166.