Least Common Multiple of 9806 and 9809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9806 and 9809 the smallest integer that is 96187054 that is divisible by both numbers.

Least Common Multiple (LCM) of 9806 and 9809 is 96187054.

LCM(9806,9809) = 96187054

LCM of 9806 and 9809

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

LCM of:
and

Least Common Multiple of 9806 and 9809

LCM of 9806 and 9809 is 96187054

Least common multiple can be found by multiplying the highest exponent prime factors of 9806 and 9809. First we will calculate the prime factors of 9806 and 9809.

Prime Factorization of 9806


2 9806
4903 4903
1

Prime factors of 9806 are 2,4903. Prime factorization of 9806 in exponential form is:

9806 = 21×49031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9809.

LCM(9806,9809) = 21×171×5771×49031
LCM(9806,9809) = 96187054

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1, 2, 4903, 9806

Factors of 9809

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

1, 17, 577, 9809

Least Common Multiple of 9806 and 9809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9809, than apply into the LCM equation.

GCF(9806,9809) = 1
LCM(9806,9809) = ( 9806 × 9809) / 1
LCM(9806,9809) = 96187054 / 1
LCM(9806,9809) = 96187054

Properties of LCM 9806 and 9809

(i) The LCM of 9809 and 9806 is associative

LCM of 9806 and 9809 = LCM of 9809 and 9806

Related Least Common Multiples of 9806

Related Least Common Multiples of 9809

Frequently Asked Questions on LCM of 9806 and 9809

1. What is the LCM of 9806 and 9809?

Answer: LCM of 9806 and 9809 is 96187054.

2. What are the Factors of 9806?

Answer: Factors of 9806 are 1, 2, 4903, 9806. There are 4 integers that are factors of 9806. The greatest factor of 9806 is 9806.

3. 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.

4. How to Find the LCM of 9806 and 9809?

Answer:

Least Common Multiple of 9806 and 9809 = 96187054

Step 1: Find the prime factorization of 9806

9806 = 2 x 4903

Step 2: Find the prime factorization of 9809

9809 = 17 x 577

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

LCM = 96187054 = 2 x 17 x 577 x 4903

Step 4: Therefore, the least common multiple of 9806 and 9809 is 96187054.