Least Common Multiple of 9876 and 9884

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 9884 the smallest integer that is 24403596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9884 is 24403596.

LCM(9876,9884) = 24403596

LCM of 9876 and 9884

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

LCM of:
and

Least Common Multiple of 9876 and 9884

LCM of 9876 and 9884 is 24403596

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9884. First we will calculate the prime factors of 9876 and 9884.

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 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2, 7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9884.

LCM(9876,9884) = 22×31×71×3531×8231
LCM(9876,9884) = 24403596

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 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

Least Common Multiple of 9876 and 9884 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 9884, than apply into the LCM equation.

GCF(9876,9884) = 4
LCM(9876,9884) = ( 9876 × 9884) / 4
LCM(9876,9884) = 97614384 / 4
LCM(9876,9884) = 24403596

Properties of LCM 9876 and 9884

(i) The LCM of 9884 and 9876 is associative

LCM of 9876 and 9884 = LCM of 9884 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9884

Frequently Asked Questions on LCM of 9876 and 9884

1. What is the LCM of 9876 and 9884?

Answer: LCM of 9876 and 9884 is 24403596.

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 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

4. How to Find the LCM of 9876 and 9884?

Answer:

Least Common Multiple of 9876 and 9884 = 24403596

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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

LCM = 24403596 = 2 x 2 x 3 x 7 x 353 x 823

Step 4: Therefore, the least common multiple of 9876 and 9884 is 24403596.