Least Common Multiple of 9891 and 9898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9891 and 9898 the smallest integer that is 13985874 that is divisible by both numbers.

Least Common Multiple (LCM) of 9891 and 9898 is 13985874.

LCM(9891,9898) = 13985874

LCM of 9891 and 9898

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

LCM of:
and

Least Common Multiple of 9891 and 9898

LCM of 9891 and 9898 is 13985874

Least common multiple can be found by multiplying the highest exponent prime factors of 9891 and 9898. First we will calculate the prime factors of 9891 and 9898.

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

Prime Factorization of 9898


2 9898
7 4949
7 707
101 101
1

Prime factors of 9898 are 2, 7,101. Prime factorization of 9898 in exponential form is:

9898 = 21×72×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9891 and 9898.

LCM(9891,9898) = 21×32×72×1011×1571
LCM(9891,9898) = 13985874

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

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

Least Common Multiple of 9891 and 9898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9891 and 9898, than apply into the LCM equation.

GCF(9891,9898) = 7
LCM(9891,9898) = ( 9891 × 9898) / 7
LCM(9891,9898) = 97901118 / 7
LCM(9891,9898) = 13985874

Properties of LCM 9891 and 9898

(i) The LCM of 9898 and 9891 is associative

LCM of 9891 and 9898 = LCM of 9898 and 9891

Related Least Common Multiples of 9891

Related Least Common Multiples of 9898

Frequently Asked Questions on LCM of 9891 and 9898

1. What is the LCM of 9891 and 9898?

Answer: LCM of 9891 and 9898 is 13985874.

2. 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.

3. What are the Factors of 9898?

Answer: Factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898. There are 12 integers that are factors of 9898. The greatest factor of 9898 is 9898.

4. How to Find the LCM of 9891 and 9898?

Answer:

Least Common Multiple of 9891 and 9898 = 13985874

Step 1: Find the prime factorization of 9891

9891 = 3 x 3 x 7 x 157

Step 2: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

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

LCM = 13985874 = 2 x 3 x 3 x 7 x 7 x 101 x 157

Step 4: Therefore, the least common multiple of 9891 and 9898 is 13985874.