Least Common Multiple of 9897 and 9902

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 9902 the smallest integer that is 98000094 that is divisible by both numbers.

Least Common Multiple (LCM) of 9897 and 9902 is 98000094.

LCM(9897,9902) = 98000094

LCM of 9897 and 9902

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

LCM of:
and

Least Common Multiple of 9897 and 9902

LCM of 9897 and 9902 is 98000094

Least common multiple can be found by multiplying the highest exponent prime factors of 9897 and 9902. First we will calculate the prime factors of 9897 and 9902.

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 9902


2 9902
4951 4951
1

Prime factors of 9902 are 2,4951. Prime factorization of 9902 in exponential form is:

9902 = 21×49511

Now multiplying the highest exponent prime factors to calculate the LCM of 9897 and 9902.

LCM(9897,9902) = 21×31×32991×49511
LCM(9897,9902) = 98000094

Factors of 9897

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

1, 3, 3299, 9897

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1, 2, 4951, 9902

Least Common Multiple of 9897 and 9902 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 9902, than apply into the LCM equation.

GCF(9897,9902) = 1
LCM(9897,9902) = ( 9897 × 9902) / 1
LCM(9897,9902) = 98000094 / 1
LCM(9897,9902) = 98000094

Properties of LCM 9897 and 9902

(i) The LCM of 9902 and 9897 is associative

LCM of 9897 and 9902 = LCM of 9902 and 9897

Related Least Common Multiples of 9897

Related Least Common Multiples of 9902

Frequently Asked Questions on LCM of 9897 and 9902

1. What is the LCM of 9897 and 9902?

Answer: LCM of 9897 and 9902 is 98000094.

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 9902?

Answer: Factors of 9902 are 1, 2, 4951, 9902. There are 4 integers that are factors of 9902. The greatest factor of 9902 is 9902.

4. How to Find the LCM of 9897 and 9902?

Answer:

Least Common Multiple of 9897 and 9902 = 98000094

Step 1: Find the prime factorization of 9897

9897 = 3 x 3299

Step 2: Find the prime factorization of 9902

9902 = 2 x 4951

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

LCM = 98000094 = 2 x 3 x 3299 x 4951

Step 4: Therefore, the least common multiple of 9897 and 9902 is 98000094.