Least Common Multiple of 9882 and 9886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9882 and 9886 the smallest integer that is 48846726 that is divisible by both numbers.

Least Common Multiple (LCM) of 9882 and 9886 is 48846726.

LCM(9882,9886) = 48846726

LCM of 9882 and 9886

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

LCM of:
and

Least Common Multiple of 9882 and 9886

LCM of 9882 and 9886 is 48846726

Least common multiple can be found by multiplying the highest exponent prime factors of 9882 and 9886. First we will calculate the prime factors of 9882 and 9886.

Prime Factorization of 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2, 3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

Prime Factorization of 9886


2 9886
4943 4943
1

Prime factors of 9886 are 2,4943. Prime factorization of 9886 in exponential form is:

9886 = 21×49431

Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9886.

LCM(9882,9886) = 21×34×611×49431
LCM(9882,9886) = 48846726

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882

Factors of 9886

List of positive integer factors of 9886 that divides 9886 without a remainder.

1, 2, 4943, 9886

Least Common Multiple of 9882 and 9886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9882 and 9886, than apply into the LCM equation.

GCF(9882,9886) = 2
LCM(9882,9886) = ( 9882 × 9886) / 2
LCM(9882,9886) = 97693452 / 2
LCM(9882,9886) = 48846726

Properties of LCM 9882 and 9886

(i) The LCM of 9886 and 9882 is associative

LCM of 9882 and 9886 = LCM of 9886 and 9882

Related Least Common Multiples of 9882

Related Least Common Multiples of 9886

Frequently Asked Questions on LCM of 9882 and 9886

1. What is the LCM of 9882 and 9886?

Answer: LCM of 9882 and 9886 is 48846726.

2. What are the Factors of 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

3. What are the Factors of 9886?

Answer: Factors of 9886 are 1, 2, 4943, 9886. There are 4 integers that are factors of 9886. The greatest factor of 9886 is 9886.

4. How to Find the LCM of 9882 and 9886?

Answer:

Least Common Multiple of 9882 and 9886 = 48846726

Step 1: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

Step 2: Find the prime factorization of 9886

9886 = 2 x 4943

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

LCM = 48846726 = 2 x 3 x 3 x 3 x 3 x 61 x 4943

Step 4: Therefore, the least common multiple of 9882 and 9886 is 48846726.