Least Common Multiple of 9876 and 9881

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 9881 the smallest integer that is 97584756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9881 is 97584756.

LCM(9876,9881) = 97584756

LCM of 9876 and 9881

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

LCM of:
and

Least Common Multiple of 9876 and 9881

LCM of 9876 and 9881 is 97584756

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9881. First we will calculate the prime factors of 9876 and 9881.

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 9881


41 9881
241 241
1

Prime factors of 9881 are 41,241. Prime factorization of 9881 in exponential form is:

9881 = 411×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9881.

LCM(9876,9881) = 22×31×411×2411×8231
LCM(9876,9881) = 97584756

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 9881

List of positive integer factors of 9881 that divides 9881 without a remainder.

1, 41, 241, 9881

Least Common Multiple of 9876 and 9881 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 9881, than apply into the LCM equation.

GCF(9876,9881) = 1
LCM(9876,9881) = ( 9876 × 9881) / 1
LCM(9876,9881) = 97584756 / 1
LCM(9876,9881) = 97584756

Properties of LCM 9876 and 9881

(i) The LCM of 9881 and 9876 is associative

LCM of 9876 and 9881 = LCM of 9881 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9881

Frequently Asked Questions on LCM of 9876 and 9881

1. What is the LCM of 9876 and 9881?

Answer: LCM of 9876 and 9881 is 97584756.

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 9881?

Answer: Factors of 9881 are 1, 41, 241, 9881. There are 4 integers that are factors of 9881. The greatest factor of 9881 is 9881.

4. How to Find the LCM of 9876 and 9881?

Answer:

Least Common Multiple of 9876 and 9881 = 97584756

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9881

9881 = 41 x 241

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

LCM = 97584756 = 2 x 2 x 3 x 41 x 241 x 823

Step 4: Therefore, the least common multiple of 9876 and 9881 is 97584756.