Least Common Multiple of 9897 and 9903

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 9903 the smallest integer that is 32669997 that is divisible by both numbers.

Least Common Multiple (LCM) of 9897 and 9903 is 32669997.

LCM(9897,9903) = 32669997

LCM of 9897 and 9903

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

LCM of:
and

Least Common Multiple of 9897 and 9903

LCM of 9897 and 9903 is 32669997

Least common multiple can be found by multiplying the highest exponent prime factors of 9897 and 9903. First we will calculate the prime factors of 9897 and 9903.

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 9903


3 9903
3301 3301
1

Prime factors of 9903 are 3,3301. Prime factorization of 9903 in exponential form is:

9903 = 31×33011

Now multiplying the highest exponent prime factors to calculate the LCM of 9897 and 9903.

LCM(9897,9903) = 31×32991×33011
LCM(9897,9903) = 32669997

Factors of 9897

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

1, 3, 3299, 9897

Factors of 9903

List of positive integer factors of 9903 that divides 9903 without a remainder.

1, 3, 3301, 9903

Least Common Multiple of 9897 and 9903 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 9903, than apply into the LCM equation.

GCF(9897,9903) = 3
LCM(9897,9903) = ( 9897 × 9903) / 3
LCM(9897,9903) = 98009991 / 3
LCM(9897,9903) = 32669997

Properties of LCM 9897 and 9903

(i) The LCM of 9903 and 9897 is associative

LCM of 9897 and 9903 = LCM of 9903 and 9897

Related Least Common Multiples of 9897

Related Least Common Multiples of 9903

Frequently Asked Questions on LCM of 9897 and 9903

1. What is the LCM of 9897 and 9903?

Answer: LCM of 9897 and 9903 is 32669997.

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 9903?

Answer: Factors of 9903 are 1, 3, 3301, 9903. There are 4 integers that are factors of 9903. The greatest factor of 9903 is 9903.

4. How to Find the LCM of 9897 and 9903?

Answer:

Least Common Multiple of 9897 and 9903 = 32669997

Step 1: Find the prime factorization of 9897

9897 = 3 x 3299

Step 2: Find the prime factorization of 9903

9903 = 3 x 3301

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

LCM = 32669997 = 3 x 3299 x 3301

Step 4: Therefore, the least common multiple of 9897 and 9903 is 32669997.