Least Common Multiple of 9893 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 9893 and 9897 the smallest integer that is 97911021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9893 and 9897 is 97911021.

LCM(9893,9897) = 97911021

LCM of 9893 and 9897

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

LCM of:
and

Least Common Multiple of 9893 and 9897

LCM of 9893 and 9897 is 97911021

Least common multiple can be found by multiplying the highest exponent prime factors of 9893 and 9897. First we will calculate the prime factors of 9893 and 9897.

Prime Factorization of 9893


13 9893
761 761
1

Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:

9893 = 131×7611

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 9893 and 9897.

LCM(9893,9897) = 31×131×7611×32991
LCM(9893,9897) = 97911021

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1, 13, 761, 9893

Factors of 9897

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

1, 3, 3299, 9897

Least Common Multiple of 9893 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 9893 and 9897, than apply into the LCM equation.

GCF(9893,9897) = 1
LCM(9893,9897) = ( 9893 × 9897) / 1
LCM(9893,9897) = 97911021 / 1
LCM(9893,9897) = 97911021

Properties of LCM 9893 and 9897

(i) The LCM of 9897 and 9893 is associative

LCM of 9893 and 9897 = LCM of 9897 and 9893

Related Least Common Multiples of 9893

Related Least Common Multiples of 9897

Frequently Asked Questions on LCM of 9893 and 9897

1. What is the LCM of 9893 and 9897?

Answer: LCM of 9893 and 9897 is 97911021.

2. What are the Factors of 9893?

Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.

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 9893 and 9897?

Answer:

Least Common Multiple of 9893 and 9897 = 97911021

Step 1: Find the prime factorization of 9893

9893 = 13 x 761

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 = 97911021 = 3 x 13 x 761 x 3299

Step 4: Therefore, the least common multiple of 9893 and 9897 is 97911021.