Least Common Multiple of 9803 and 9806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9803 and 9806 the smallest integer that is 96128218 that is divisible by both numbers.

Least Common Multiple (LCM) of 9803 and 9806 is 96128218.

LCM(9803,9806) = 96128218

LCM of 9803 and 9806

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

LCM of:
and

Least Common Multiple of 9803 and 9806

LCM of 9803 and 9806 is 96128218

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9806. First we will calculate the prime factors of 9803 and 9806.

Prime Factorization of 9803


9803 9803
1

Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:

9803 = 98031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9806.

LCM(9803,9806) = 21×49031×98031
LCM(9803,9806) = 96128218

Factors of 9803

List of positive integer factors of 9803 that divides 9803 without a remainder.

1, 9803

Factors of 9806

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

1, 2, 4903, 9806

Least Common Multiple of 9803 and 9806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9803 and 9806, than apply into the LCM equation.

GCF(9803,9806) = 1
LCM(9803,9806) = ( 9803 × 9806) / 1
LCM(9803,9806) = 96128218 / 1
LCM(9803,9806) = 96128218

Properties of LCM 9803 and 9806

(i) The LCM of 9806 and 9803 is associative

LCM of 9803 and 9806 = LCM of 9806 and 9803

Related Least Common Multiples of 9803

Related Least Common Multiples of 9806

Frequently Asked Questions on LCM of 9803 and 9806

1. What is the LCM of 9803 and 9806?

Answer: LCM of 9803 and 9806 is 96128218.

2. What are the Factors of 9803?

Answer: Factors of 9803 are 1, 9803. There are 2 integers that are factors of 9803. The greatest factor of 9803 is 9803.

3. 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.

4. How to Find the LCM of 9803 and 9806?

Answer:

Least Common Multiple of 9803 and 9806 = 96128218

Step 1: Find the prime factorization of 9803

9803 = 9803

Step 2: Find the prime factorization of 9806

9806 = 2 x 4903

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

LCM = 96128218 = 2 x 4903 x 9803

Step 4: Therefore, the least common multiple of 9803 and 9806 is 96128218.