Least Common Multiple of 9682 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 9682 and 9686 the smallest integer that is 46889926 that is divisible by both numbers.

Least Common Multiple (LCM) of 9682 and 9686 is 46889926.

LCM(9682,9686) = 46889926

LCM of 9682 and 9686

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

LCM of:
and

Least Common Multiple of 9682 and 9686

LCM of 9682 and 9686 is 46889926

Least common multiple can be found by multiplying the highest exponent prime factors of 9682 and 9686. First we will calculate the prime factors of 9682 and 9686.

Prime Factorization of 9682


2 9682
47 4841
103 103
1

Prime factors of 9682 are 2, 47,103. Prime factorization of 9682 in exponential form is:

9682 = 21×471×1031

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 9682 and 9686.

LCM(9682,9686) = 21×291×471×1031×1671
LCM(9682,9686) = 46889926

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1, 2, 47, 94, 103, 206, 4841, 9682

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 9682 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 9682 and 9686, than apply into the LCM equation.

GCF(9682,9686) = 2
LCM(9682,9686) = ( 9682 × 9686) / 2
LCM(9682,9686) = 93779852 / 2
LCM(9682,9686) = 46889926

Properties of LCM 9682 and 9686

(i) The LCM of 9686 and 9682 is associative

LCM of 9682 and 9686 = LCM of 9686 and 9682

Related Least Common Multiples of 9682

Related Least Common Multiples of 9686

Frequently Asked Questions on LCM of 9682 and 9686

1. What is the LCM of 9682 and 9686?

Answer: LCM of 9682 and 9686 is 46889926.

2. What are the Factors of 9682?

Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.

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 9682 and 9686?

Answer:

Least Common Multiple of 9682 and 9686 = 46889926

Step 1: Find the prime factorization of 9682

9682 = 2 x 47 x 103

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 = 46889926 = 2 x 29 x 47 x 103 x 167

Step 4: Therefore, the least common multiple of 9682 and 9686 is 46889926.