Least Common Multiple of 9872 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 9872 and 9880 the smallest integer that is 12191920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9872 and 9880 is 12191920.

LCM(9872,9880) = 12191920

LCM of 9872 and 9880

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

LCM of:
and

Least Common Multiple of 9872 and 9880

LCM of 9872 and 9880 is 12191920

Least common multiple can be found by multiplying the highest exponent prime factors of 9872 and 9880. First we will calculate the prime factors of 9872 and 9880.

Prime Factorization of 9872


2 9872
2 4936
2 2468
2 1234
617 617
1

Prime factors of 9872 are 2,617. Prime factorization of 9872 in exponential form is:

9872 = 24×6171

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 9872 and 9880.

LCM(9872,9880) = 24×51×131×191×6171
LCM(9872,9880) = 12191920

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

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 9872 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 9872 and 9880, than apply into the LCM equation.

GCF(9872,9880) = 8
LCM(9872,9880) = ( 9872 × 9880) / 8
LCM(9872,9880) = 97535360 / 8
LCM(9872,9880) = 12191920

Properties of LCM 9872 and 9880

(i) The LCM of 9880 and 9872 is associative

LCM of 9872 and 9880 = LCM of 9880 and 9872

Related Least Common Multiples of 9872

Related Least Common Multiples of 9880

Frequently Asked Questions on LCM of 9872 and 9880

1. What is the LCM of 9872 and 9880?

Answer: LCM of 9872 and 9880 is 12191920.

2. What are the Factors of 9872?

Answer: Factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. There are 10 integers that are factors of 9872. The greatest factor of 9872 is 9872.

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 9872 and 9880?

Answer:

Least Common Multiple of 9872 and 9880 = 12191920

Step 1: Find the prime factorization of 9872

9872 = 2 x 2 x 2 x 2 x 617

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 = 12191920 = 2 x 2 x 2 x 2 x 5 x 13 x 19 x 617

Step 4: Therefore, the least common multiple of 9872 and 9880 is 12191920.