Least Common Multiple of 9809 and 9813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9809 and 9813 the smallest integer that is 96255717 that is divisible by both numbers.

Least Common Multiple (LCM) of 9809 and 9813 is 96255717.

LCM(9809,9813) = 96255717

LCM of 9809 and 9813

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

LCM of:
and

Least Common Multiple of 9809 and 9813

LCM of 9809 and 9813 is 96255717

Least common multiple can be found by multiplying the highest exponent prime factors of 9809 and 9813. First we will calculate the prime factors of 9809 and 9813.

Prime Factorization of 9809


17 9809
577 577
1

Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:

9809 = 171×5771

Prime Factorization of 9813


3 9813
3271 3271
1

Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:

9813 = 31×32711

Now multiplying the highest exponent prime factors to calculate the LCM of 9809 and 9813.

LCM(9809,9813) = 31×171×5771×32711
LCM(9809,9813) = 96255717

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1, 17, 577, 9809

Factors of 9813

List of positive integer factors of 9813 that divides 9813 without a remainder.

1, 3, 3271, 9813

Least Common Multiple of 9809 and 9813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9809 and 9813, than apply into the LCM equation.

GCF(9809,9813) = 1
LCM(9809,9813) = ( 9809 × 9813) / 1
LCM(9809,9813) = 96255717 / 1
LCM(9809,9813) = 96255717

Properties of LCM 9809 and 9813

(i) The LCM of 9813 and 9809 is associative

LCM of 9809 and 9813 = LCM of 9813 and 9809

Related Least Common Multiples of 9809

Related Least Common Multiples of 9813

Frequently Asked Questions on LCM of 9809 and 9813

1. What is the LCM of 9809 and 9813?

Answer: LCM of 9809 and 9813 is 96255717.

2. What are the Factors of 9809?

Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.

3. What are the Factors of 9813?

Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.

4. How to Find the LCM of 9809 and 9813?

Answer:

Least Common Multiple of 9809 and 9813 = 96255717

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

Step 2: Find the prime factorization of 9813

9813 = 3 x 3271

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

LCM = 96255717 = 3 x 17 x 577 x 3271

Step 4: Therefore, the least common multiple of 9809 and 9813 is 96255717.