Least Common Multiple of 9884 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 9884 and 9891 the smallest integer that is 13966092 that is divisible by both numbers.

Least Common Multiple (LCM) of 9884 and 9891 is 13966092.

LCM(9884,9891) = 13966092

LCM of 9884 and 9891

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

LCM of:
and

Least Common Multiple of 9884 and 9891

LCM of 9884 and 9891 is 13966092

Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9891. First we will calculate the prime factors of 9884 and 9891.

Prime Factorization of 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2, 7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

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 9884 and 9891.

LCM(9884,9891) = 22×32×71×1571×3531
LCM(9884,9891) = 13966092

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

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 9884 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 9884 and 9891, than apply into the LCM equation.

GCF(9884,9891) = 7
LCM(9884,9891) = ( 9884 × 9891) / 7
LCM(9884,9891) = 97762644 / 7
LCM(9884,9891) = 13966092

Properties of LCM 9884 and 9891

(i) The LCM of 9891 and 9884 is associative

LCM of 9884 and 9891 = LCM of 9891 and 9884

Related Least Common Multiples of 9884

Related Least Common Multiples of 9891

Frequently Asked Questions on LCM of 9884 and 9891

1. What is the LCM of 9884 and 9891?

Answer: LCM of 9884 and 9891 is 13966092.

2. What are the Factors of 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

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 9884 and 9891?

Answer:

Least Common Multiple of 9884 and 9891 = 13966092

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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 = 13966092 = 2 x 2 x 3 x 3 x 7 x 157 x 353

Step 4: Therefore, the least common multiple of 9884 and 9891 is 13966092.