Least Common Multiple of 9890 and 9897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9890 and 9897 the smallest integer that is 97881330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9890 and 9897 is 97881330.

LCM(9890,9897) = 97881330

LCM of 9890 and 9897

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

LCM of:
and

Least Common Multiple of 9890 and 9897

LCM of 9890 and 9897 is 97881330

Least common multiple can be found by multiplying the highest exponent prime factors of 9890 and 9897. First we will calculate the prime factors of 9890 and 9897.

Prime Factorization of 9890


2 9890
5 4945
23 989
43 43
1

Prime factors of 9890 are 2, 5, 23,43. Prime factorization of 9890 in exponential form is:

9890 = 21×51×231×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9890 and 9897.

LCM(9890,9897) = 21×31×51×231×431×32991
LCM(9890,9897) = 97881330

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890

Factors of 9897

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

1, 3, 3299, 9897

Least Common Multiple of 9890 and 9897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9890 and 9897, than apply into the LCM equation.

GCF(9890,9897) = 1
LCM(9890,9897) = ( 9890 × 9897) / 1
LCM(9890,9897) = 97881330 / 1
LCM(9890,9897) = 97881330

Properties of LCM 9890 and 9897

(i) The LCM of 9897 and 9890 is associative

LCM of 9890 and 9897 = LCM of 9897 and 9890

Related Least Common Multiples of 9890

Related Least Common Multiples of 9897

Frequently Asked Questions on LCM of 9890 and 9897

1. What is the LCM of 9890 and 9897?

Answer: LCM of 9890 and 9897 is 97881330.

2. What are the Factors of 9890?

Answer: Factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890. There are 16 integers that are factors of 9890. The greatest factor of 9890 is 9890.

3. 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.

4. How to Find the LCM of 9890 and 9897?

Answer:

Least Common Multiple of 9890 and 9897 = 97881330

Step 1: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

Step 2: Find the prime factorization of 9897

9897 = 3 x 3299

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

LCM = 97881330 = 2 x 3 x 5 x 23 x 43 x 3299

Step 4: Therefore, the least common multiple of 9890 and 9897 is 97881330.