Least Common Multiple of 9879 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 9879 and 9885 the smallest integer that is 32551305 that is divisible by both numbers.

Least Common Multiple (LCM) of 9879 and 9885 is 32551305.

LCM(9879,9885) = 32551305

LCM of 9879 and 9885

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

LCM of:
and

Least Common Multiple of 9879 and 9885

LCM of 9879 and 9885 is 32551305

Least common multiple can be found by multiplying the highest exponent prime factors of 9879 and 9885. First we will calculate the prime factors of 9879 and 9885.

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

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 9879 and 9885.

LCM(9879,9885) = 31×51×371×891×6591
LCM(9879,9885) = 32551305

Factors of 9879

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

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

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 9879 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 9879 and 9885, than apply into the LCM equation.

GCF(9879,9885) = 3
LCM(9879,9885) = ( 9879 × 9885) / 3
LCM(9879,9885) = 97653915 / 3
LCM(9879,9885) = 32551305

Properties of LCM 9879 and 9885

(i) The LCM of 9885 and 9879 is associative

LCM of 9879 and 9885 = LCM of 9885 and 9879

Related Least Common Multiples of 9879

Related Least Common Multiples of 9885

Frequently Asked Questions on LCM of 9879 and 9885

1. What is the LCM of 9879 and 9885?

Answer: LCM of 9879 and 9885 is 32551305.

2. 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.

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 9879 and 9885?

Answer:

Least Common Multiple of 9879 and 9885 = 32551305

Step 1: Find the prime factorization of 9879

9879 = 3 x 37 x 89

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 = 32551305 = 3 x 5 x 37 x 89 x 659

Step 4: Therefore, the least common multiple of 9879 and 9885 is 32551305.