Least Common Multiple of 9876 and 9883

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 9883 the smallest integer that is 97604508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9883 is 97604508.

LCM(9876,9883) = 97604508

LCM of 9876 and 9883

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

LCM of:
and

Least Common Multiple of 9876 and 9883

LCM of 9876 and 9883 is 97604508

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9883. First we will calculate the prime factors of 9876 and 9883.

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 9883


9883 9883
1

Prime factors of 9883 are 9883. Prime factorization of 9883 in exponential form is:

9883 = 98831

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9883.

LCM(9876,9883) = 22×31×8231×98831
LCM(9876,9883) = 97604508

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 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1, 9883

Least Common Multiple of 9876 and 9883 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 9883, than apply into the LCM equation.

GCF(9876,9883) = 1
LCM(9876,9883) = ( 9876 × 9883) / 1
LCM(9876,9883) = 97604508 / 1
LCM(9876,9883) = 97604508

Properties of LCM 9876 and 9883

(i) The LCM of 9883 and 9876 is associative

LCM of 9876 and 9883 = LCM of 9883 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9883

Frequently Asked Questions on LCM of 9876 and 9883

1. What is the LCM of 9876 and 9883?

Answer: LCM of 9876 and 9883 is 97604508.

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 9883?

Answer: Factors of 9883 are 1, 9883. There are 2 integers that are factors of 9883. The greatest factor of 9883 is 9883.

4. How to Find the LCM of 9876 and 9883?

Answer:

Least Common Multiple of 9876 and 9883 = 97604508

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9883

9883 = 9883

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

LCM = 97604508 = 2 x 2 x 3 x 823 x 9883

Step 4: Therefore, the least common multiple of 9876 and 9883 is 97604508.