Least Common Multiple of 9885 and 9891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9885 and 9891 the smallest integer that is 32590845 that is divisible by both numbers.

Least Common Multiple (LCM) of 9885 and 9891 is 32590845.

LCM(9885,9891) = 32590845

LCM of 9885 and 9891

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

LCM of:
and

Least Common Multiple of 9885 and 9891

LCM of 9885 and 9891 is 32590845

Least common multiple can be found by multiplying the highest exponent prime factors of 9885 and 9891. First we will calculate the prime factors of 9885 and 9891.

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

Prime Factorization of 9891


3 9891
3 3297
7 1099
157 157
1

Prime factors of 9891 are 3, 7,157. Prime factorization of 9891 in exponential form is:

9891 = 32×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9885 and 9891.

LCM(9885,9891) = 32×51×71×1571×6591
LCM(9885,9891) = 32590845

Factors of 9885

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

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

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891

Least Common Multiple of 9885 and 9891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9885 and 9891, than apply into the LCM equation.

GCF(9885,9891) = 3
LCM(9885,9891) = ( 9885 × 9891) / 3
LCM(9885,9891) = 97772535 / 3
LCM(9885,9891) = 32590845

Properties of LCM 9885 and 9891

(i) The LCM of 9891 and 9885 is associative

LCM of 9885 and 9891 = LCM of 9891 and 9885

Related Least Common Multiples of 9885

Related Least Common Multiples of 9891

Frequently Asked Questions on LCM of 9885 and 9891

1. What is the LCM of 9885 and 9891?

Answer: LCM of 9885 and 9891 is 32590845.

2. 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.

3. What are the Factors of 9891?

Answer: Factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891. There are 12 integers that are factors of 9891. The greatest factor of 9891 is 9891.

4. How to Find the LCM of 9885 and 9891?

Answer:

Least Common Multiple of 9885 and 9891 = 32590845

Step 1: Find the prime factorization of 9885

9885 = 3 x 5 x 659

Step 2: Find the prime factorization of 9891

9891 = 3 x 3 x 7 x 157

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

LCM = 32590845 = 3 x 3 x 5 x 7 x 157 x 659

Step 4: Therefore, the least common multiple of 9885 and 9891 is 32590845.