Least Common Multiple of 9876 and 9880

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 9880 the smallest integer that is 24393720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9876 and 9880 is 24393720.

LCM(9876,9880) = 24393720

LCM of 9876 and 9880

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

LCM of:
and

Least Common Multiple of 9876 and 9880

LCM of 9876 and 9880 is 24393720

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9880. First we will calculate the prime factors of 9876 and 9880.

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 9880


2 9880
2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 9880 are 2, 5, 13,19. Prime factorization of 9880 in exponential form is:

9880 = 23×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9880.

LCM(9876,9880) = 23×31×51×131×191×8231
LCM(9876,9880) = 24393720

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 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880

Least Common Multiple of 9876 and 9880 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 9880, than apply into the LCM equation.

GCF(9876,9880) = 4
LCM(9876,9880) = ( 9876 × 9880) / 4
LCM(9876,9880) = 97574880 / 4
LCM(9876,9880) = 24393720

Properties of LCM 9876 and 9880

(i) The LCM of 9880 and 9876 is associative

LCM of 9876 and 9880 = LCM of 9880 and 9876

Related Least Common Multiples of 9876

Related Least Common Multiples of 9880

Frequently Asked Questions on LCM of 9876 and 9880

1. What is the LCM of 9876 and 9880?

Answer: LCM of 9876 and 9880 is 24393720.

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 9880?

Answer: Factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880. There are 32 integers that are factors of 9880. The greatest factor of 9880 is 9880.

4. How to Find the LCM of 9876 and 9880?

Answer:

Least Common Multiple of 9876 and 9880 = 24393720

Step 1: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

Step 2: Find the prime factorization of 9880

9880 = 2 x 2 x 2 x 5 x 13 x 19

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

LCM = 24393720 = 2 x 2 x 2 x 3 x 5 x 13 x 19 x 823

Step 4: Therefore, the least common multiple of 9876 and 9880 is 24393720.