Least Common Multiple of 9897 and 9901

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 9901 the smallest integer that is 97990197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9897 and 9901 is 97990197.

LCM(9897,9901) = 97990197

LCM of 9897 and 9901

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

LCM of:
and

Least Common Multiple of 9897 and 9901

LCM of 9897 and 9901 is 97990197

Least common multiple can be found by multiplying the highest exponent prime factors of 9897 and 9901. First we will calculate the prime factors of 9897 and 9901.

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 9901


9901 9901
1

Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:

9901 = 99011

Now multiplying the highest exponent prime factors to calculate the LCM of 9897 and 9901.

LCM(9897,9901) = 31×32991×99011
LCM(9897,9901) = 97990197

Factors of 9897

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

1, 3, 3299, 9897

Factors of 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1, 9901

Least Common Multiple of 9897 and 9901 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 9901, than apply into the LCM equation.

GCF(9897,9901) = 1
LCM(9897,9901) = ( 9897 × 9901) / 1
LCM(9897,9901) = 97990197 / 1
LCM(9897,9901) = 97990197

Properties of LCM 9897 and 9901

(i) The LCM of 9901 and 9897 is associative

LCM of 9897 and 9901 = LCM of 9901 and 9897

Related Least Common Multiples of 9897

Related Least Common Multiples of 9901

Frequently Asked Questions on LCM of 9897 and 9901

1. What is the LCM of 9897 and 9901?

Answer: LCM of 9897 and 9901 is 97990197.

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 9901?

Answer: Factors of 9901 are 1, 9901. There are 2 integers that are factors of 9901. The greatest factor of 9901 is 9901.

4. How to Find the LCM of 9897 and 9901?

Answer:

Least Common Multiple of 9897 and 9901 = 97990197

Step 1: Find the prime factorization of 9897

9897 = 3 x 3299

Step 2: Find the prime factorization of 9901

9901 = 9901

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

LCM = 97990197 = 3 x 3299 x 9901

Step 4: Therefore, the least common multiple of 9897 and 9901 is 97990197.