Least Common Multiple of 9686 and 9694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9686 and 9694 the smallest integer that is 46948042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9686 and 9694 is 46948042.

LCM(9686,9694) = 46948042

LCM of 9686 and 9694

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

LCM of:
and

Least Common Multiple of 9686 and 9694

LCM of 9686 and 9694 is 46948042

Least common multiple can be found by multiplying the highest exponent prime factors of 9686 and 9694. First we will calculate the prime factors of 9686 and 9694.

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

Prime Factorization of 9694


2 9694
37 4847
131 131
1

Prime factors of 9694 are 2, 37,131. Prime factorization of 9694 in exponential form is:

9694 = 21×371×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9686 and 9694.

LCM(9686,9694) = 21×291×371×1311×1671
LCM(9686,9694) = 46948042

Factors of 9686

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

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

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1, 2, 37, 74, 131, 262, 4847, 9694

Least Common Multiple of 9686 and 9694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9686 and 9694, than apply into the LCM equation.

GCF(9686,9694) = 2
LCM(9686,9694) = ( 9686 × 9694) / 2
LCM(9686,9694) = 93896084 / 2
LCM(9686,9694) = 46948042

Properties of LCM 9686 and 9694

(i) The LCM of 9694 and 9686 is associative

LCM of 9686 and 9694 = LCM of 9694 and 9686

Related Least Common Multiples of 9686

Related Least Common Multiples of 9694

Frequently Asked Questions on LCM of 9686 and 9694

1. What is the LCM of 9686 and 9694?

Answer: LCM of 9686 and 9694 is 46948042.

2. 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.

3. What are the Factors of 9694?

Answer: Factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694. There are 8 integers that are factors of 9694. The greatest factor of 9694 is 9694.

4. How to Find the LCM of 9686 and 9694?

Answer:

Least Common Multiple of 9686 and 9694 = 46948042

Step 1: Find the prime factorization of 9686

9686 = 2 x 29 x 167

Step 2: Find the prime factorization of 9694

9694 = 2 x 37 x 131

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

LCM = 46948042 = 2 x 29 x 37 x 131 x 167

Step 4: Therefore, the least common multiple of 9686 and 9694 is 46948042.