Least Common Multiple of 9809 and 9817

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 9817 the smallest integer that is 96294953 that is divisible by both numbers.

Least Common Multiple (LCM) of 9809 and 9817 is 96294953.

LCM(9809,9817) = 96294953

LCM of 9809 and 9817

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

LCM of:
and

Least Common Multiple of 9809 and 9817

LCM of 9809 and 9817 is 96294953

Least common multiple can be found by multiplying the highest exponent prime factors of 9809 and 9817. First we will calculate the prime factors of 9809 and 9817.

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 9817


9817 9817
1

Prime factors of 9817 are 9817. Prime factorization of 9817 in exponential form is:

9817 = 98171

Now multiplying the highest exponent prime factors to calculate the LCM of 9809 and 9817.

LCM(9809,9817) = 171×5771×98171
LCM(9809,9817) = 96294953

Factors of 9809

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

1, 17, 577, 9809

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1, 9817

Least Common Multiple of 9809 and 9817 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 9817, than apply into the LCM equation.

GCF(9809,9817) = 1
LCM(9809,9817) = ( 9809 × 9817) / 1
LCM(9809,9817) = 96294953 / 1
LCM(9809,9817) = 96294953

Properties of LCM 9809 and 9817

(i) The LCM of 9817 and 9809 is associative

LCM of 9809 and 9817 = LCM of 9817 and 9809

Related Least Common Multiples of 9809

Related Least Common Multiples of 9817

Frequently Asked Questions on LCM of 9809 and 9817

1. What is the LCM of 9809 and 9817?

Answer: LCM of 9809 and 9817 is 96294953.

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 9817?

Answer: Factors of 9817 are 1, 9817. There are 2 integers that are factors of 9817. The greatest factor of 9817 is 9817.

4. How to Find the LCM of 9809 and 9817?

Answer:

Least Common Multiple of 9809 and 9817 = 96294953

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

Step 2: Find the prime factorization of 9817

9817 = 9817

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

LCM = 96294953 = 17 x 577 x 9817

Step 4: Therefore, the least common multiple of 9809 and 9817 is 96294953.