Least Common Multiple of 9897 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 9897 and 9898 the smallest integer that is 97960506 that is divisible by both numbers.

Least Common Multiple (LCM) of 9897 and 9898 is 97960506.

LCM(9897,9898) = 97960506

LCM of 9897 and 9898

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

LCM of:
and

Least Common Multiple of 9897 and 9898

LCM of 9897 and 9898 is 97960506

Least common multiple can be found by multiplying the highest exponent prime factors of 9897 and 9898. First we will calculate the prime factors of 9897 and 9898.

Prime Factorization of 9897


3 9897
3299 3299
1

Prime factors of 9897 are 3,3299. Prime factorization of 9897 in exponential form is:

9897 = 31×32991

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 9897 and 9898.

LCM(9897,9898) = 21×31×72×1011×32991
LCM(9897,9898) = 97960506

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1, 3, 3299, 9897

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 9897 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 9897 and 9898, than apply into the LCM equation.

GCF(9897,9898) = 1
LCM(9897,9898) = ( 9897 × 9898) / 1
LCM(9897,9898) = 97960506 / 1
LCM(9897,9898) = 97960506

Properties of LCM 9897 and 9898

(i) The LCM of 9898 and 9897 is associative

LCM of 9897 and 9898 = LCM of 9898 and 9897

Related Least Common Multiples of 9897

Related Least Common Multiples of 9898

Frequently Asked Questions on LCM of 9897 and 9898

1. What is the LCM of 9897 and 9898?

Answer: LCM of 9897 and 9898 is 97960506.

2. What are the Factors of 9897?

Answer: Factors of 9897 are 1, 3, 3299, 9897. There are 4 integers that are factors of 9897. The greatest factor of 9897 is 9897.

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 9897 and 9898?

Answer:

Least Common Multiple of 9897 and 9898 = 97960506

Step 1: Find the prime factorization of 9897

9897 = 3 x 3299

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 = 97960506 = 2 x 3 x 7 x 7 x 101 x 3299

Step 4: Therefore, the least common multiple of 9897 and 9898 is 97960506.