Least Common Multiple of 9876 and 9879

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 9879 the smallest integer that is 32521668 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9879 is 32521668.

LCM(9876,9879) = 32521668

LCM of 9876 and 9879

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

LCM of:
and

Least Common Multiple of 9876 and 9879

LCM of 9876 and 9879 is 32521668

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9879. First we will calculate the prime factors of 9876 and 9879.

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 9879


3 9879
37 3293
89 89
1

Prime factors of 9879 are 3, 37,89. Prime factorization of 9879 in exponential form is:

9879 = 31×371×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9879.

LCM(9876,9879) = 22×31×371×891×8231
LCM(9876,9879) = 32521668

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 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1, 3, 37, 89, 111, 267, 3293, 9879

Least Common Multiple of 9876 and 9879 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 9879, than apply into the LCM equation.

GCF(9876,9879) = 3
LCM(9876,9879) = ( 9876 × 9879) / 3
LCM(9876,9879) = 97565004 / 3
LCM(9876,9879) = 32521668

Properties of LCM 9876 and 9879

(i) The LCM of 9879 and 9876 is associative

LCM of 9876 and 9879 = LCM of 9879 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9879

Frequently Asked Questions on LCM of 9876 and 9879

1. What is the LCM of 9876 and 9879?

Answer: LCM of 9876 and 9879 is 32521668.

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 9879?

Answer: Factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879. There are 8 integers that are factors of 9879. The greatest factor of 9879 is 9879.

4. How to Find the LCM of 9876 and 9879?

Answer:

Least Common Multiple of 9876 and 9879 = 32521668

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9879

9879 = 3 x 37 x 89

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

LCM = 32521668 = 2 x 2 x 3 x 37 x 89 x 823

Step 4: Therefore, the least common multiple of 9876 and 9879 is 32521668.