Least Common Multiple of 9882 and 9887

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 9887 the smallest integer that is 97703334 that is divisible by both numbers.

Least Common Multiple (LCM) of 9882 and 9887 is 97703334.

LCM(9882,9887) = 97703334

LCM of 9882 and 9887

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

LCM of:
and

Least Common Multiple of 9882 and 9887

LCM of 9882 and 9887 is 97703334

Least common multiple can be found by multiplying the highest exponent prime factors of 9882 and 9887. First we will calculate the prime factors of 9882 and 9887.

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 9887


9887 9887
1

Prime factors of 9887 are 9887. Prime factorization of 9887 in exponential form is:

9887 = 98871

Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9887.

LCM(9882,9887) = 21×34×611×98871
LCM(9882,9887) = 97703334

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 9887

List of positive integer factors of 9887 that divides 9887 without a remainder.

1, 9887

Least Common Multiple of 9882 and 9887 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 9887, than apply into the LCM equation.

GCF(9882,9887) = 1
LCM(9882,9887) = ( 9882 × 9887) / 1
LCM(9882,9887) = 97703334 / 1
LCM(9882,9887) = 97703334

Properties of LCM 9882 and 9887

(i) The LCM of 9887 and 9882 is associative

LCM of 9882 and 9887 = LCM of 9887 and 9882

Related Least Common Multiples of 9882

Related Least Common Multiples of 9887

Frequently Asked Questions on LCM of 9882 and 9887

1. What is the LCM of 9882 and 9887?

Answer: LCM of 9882 and 9887 is 97703334.

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 9887?

Answer: Factors of 9887 are 1, 9887. There are 2 integers that are factors of 9887. The greatest factor of 9887 is 9887.

4. How to Find the LCM of 9882 and 9887?

Answer:

Least Common Multiple of 9882 and 9887 = 97703334

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 9887

9887 = 9887

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

LCM = 97703334 = 2 x 3 x 3 x 3 x 3 x 61 x 9887

Step 4: Therefore, the least common multiple of 9882 and 9887 is 97703334.