Least Common Multiple of 9880 and 9885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9880 and 9885 the smallest integer that is 19532760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9880 and 9885 is 19532760.

LCM(9880,9885) = 19532760

LCM of 9880 and 9885

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

LCM of:
and

Least Common Multiple of 9880 and 9885

LCM of 9880 and 9885 is 19532760

Least common multiple can be found by multiplying the highest exponent prime factors of 9880 and 9885. First we will calculate the prime factors of 9880 and 9885.

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

Prime Factorization of 9885


3 9885
5 3295
659 659
1

Prime factors of 9885 are 3, 5,659. Prime factorization of 9885 in exponential form is:

9885 = 31×51×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 9880 and 9885.

LCM(9880,9885) = 23×31×51×131×191×6591
LCM(9880,9885) = 19532760

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

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1, 3, 5, 15, 659, 1977, 3295, 9885

Least Common Multiple of 9880 and 9885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9880 and 9885, than apply into the LCM equation.

GCF(9880,9885) = 5
LCM(9880,9885) = ( 9880 × 9885) / 5
LCM(9880,9885) = 97663800 / 5
LCM(9880,9885) = 19532760

Properties of LCM 9880 and 9885

(i) The LCM of 9885 and 9880 is associative

LCM of 9880 and 9885 = LCM of 9885 and 9880

Related Least Common Multiples of 9880

Related Least Common Multiples of 9885

Frequently Asked Questions on LCM of 9880 and 9885

1. What is the LCM of 9880 and 9885?

Answer: LCM of 9880 and 9885 is 19532760.

2. 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.

3. What are the Factors of 9885?

Answer: Factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885. There are 8 integers that are factors of 9885. The greatest factor of 9885 is 9885.

4. How to Find the LCM of 9880 and 9885?

Answer:

Least Common Multiple of 9880 and 9885 = 19532760

Step 1: Find the prime factorization of 9880

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

Step 2: Find the prime factorization of 9885

9885 = 3 x 5 x 659

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

LCM = 19532760 = 2 x 2 x 2 x 3 x 5 x 13 x 19 x 659

Step 4: Therefore, the least common multiple of 9880 and 9885 is 19532760.