Least Common Multiple of 9876 and 9882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9876 and 9882 the smallest integer that is 16265772 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9882 is 16265772.

LCM(9876,9882) = 16265772

LCM of 9876 and 9882

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

LCM of:
and

Least Common Multiple of 9876 and 9882

LCM of 9876 and 9882 is 16265772

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9882. First we will calculate the prime factors of 9876 and 9882.

Prime Factorization of 9876


2 9876
2 4938
3 2469
823 823
1

Prime factors of 9876 are 2, 3,823. Prime factorization of 9876 in exponential form is:

9876 = 22×31×8231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9882.

LCM(9876,9882) = 22×34×611×8231
LCM(9876,9882) = 16265772

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876

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

Least Common Multiple of 9876 and 9882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9876 and 9882, than apply into the LCM equation.

GCF(9876,9882) = 6
LCM(9876,9882) = ( 9876 × 9882) / 6
LCM(9876,9882) = 97594632 / 6
LCM(9876,9882) = 16265772

Properties of LCM 9876 and 9882

(i) The LCM of 9882 and 9876 is associative

LCM of 9876 and 9882 = LCM of 9882 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9882

Frequently Asked Questions on LCM of 9876 and 9882

1. What is the LCM of 9876 and 9882?

Answer: LCM of 9876 and 9882 is 16265772.

2. What are the Factors of 9876?

Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.

3. 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.

4. How to Find the LCM of 9876 and 9882?

Answer:

Least Common Multiple of 9876 and 9882 = 16265772

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9882

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

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

LCM = 16265772 = 2 x 2 x 3 x 3 x 3 x 3 x 61 x 823

Step 4: Therefore, the least common multiple of 9876 and 9882 is 16265772.