Least Common Multiple of 9803 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 9803 and 9809 the smallest integer that is 96157627 that is divisible by both numbers.

Least Common Multiple (LCM) of 9803 and 9809 is 96157627.

LCM(9803,9809) = 96157627

LCM of 9803 and 9809

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

LCM of:
and

Least Common Multiple of 9803 and 9809

LCM of 9803 and 9809 is 96157627

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9809. First we will calculate the prime factors of 9803 and 9809.

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 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 9803 and 9809.

LCM(9803,9809) = 171×5771×98031
LCM(9803,9809) = 96157627

Factors of 9803

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

1, 9803

Factors of 9809

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

1, 17, 577, 9809

Least Common Multiple of 9803 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 9803 and 9809, than apply into the LCM equation.

GCF(9803,9809) = 1
LCM(9803,9809) = ( 9803 × 9809) / 1
LCM(9803,9809) = 96157627 / 1
LCM(9803,9809) = 96157627

Properties of LCM 9803 and 9809

(i) The LCM of 9809 and 9803 is associative

LCM of 9803 and 9809 = LCM of 9809 and 9803

Related Least Common Multiples of 9803

Related Least Common Multiples of 9809

Frequently Asked Questions on LCM of 9803 and 9809

1. What is the LCM of 9803 and 9809?

Answer: LCM of 9803 and 9809 is 96157627.

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 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 9803 and 9809?

Answer:

Least Common Multiple of 9803 and 9809 = 96157627

Step 1: Find the prime factorization of 9803

9803 = 9803

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 = 96157627 = 17 x 577 x 9803

Step 4: Therefore, the least common multiple of 9803 and 9809 is 96157627.