Least Common Multiple of 9803 and 9811

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 9811 the smallest integer that is 96177233 that is divisible by both numbers.

Least Common Multiple (LCM) of 9803 and 9811 is 96177233.

LCM(9803,9811) = 96177233

LCM of 9803 and 9811

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

LCM of:
and

Least Common Multiple of 9803 and 9811

LCM of 9803 and 9811 is 96177233

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9811. First we will calculate the prime factors of 9803 and 9811.

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 9811


9811 9811
1

Prime factors of 9811 are 9811. Prime factorization of 9811 in exponential form is:

9811 = 98111

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9811.

LCM(9803,9811) = 98031×98111
LCM(9803,9811) = 96177233

Factors of 9803

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

1, 9803

Factors of 9811

List of positive integer factors of 9811 that divides 9811 without a remainder.

1, 9811

Least Common Multiple of 9803 and 9811 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 9811, than apply into the LCM equation.

GCF(9803,9811) = 1
LCM(9803,9811) = ( 9803 × 9811) / 1
LCM(9803,9811) = 96177233 / 1
LCM(9803,9811) = 96177233

Properties of LCM 9803 and 9811

(i) The LCM of 9811 and 9803 is associative

LCM of 9803 and 9811 = LCM of 9811 and 9803

Related Least Common Multiples of 9803

Related Least Common Multiples of 9811

Frequently Asked Questions on LCM of 9803 and 9811

1. What is the LCM of 9803 and 9811?

Answer: LCM of 9803 and 9811 is 96177233.

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 9811?

Answer: Factors of 9811 are 1, 9811. There are 2 integers that are factors of 9811. The greatest factor of 9811 is 9811.

4. How to Find the LCM of 9803 and 9811?

Answer:

Least Common Multiple of 9803 and 9811 = 96177233

Step 1: Find the prime factorization of 9803

9803 = 9803

Step 2: Find the prime factorization of 9811

9811 = 9811

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

LCM = 96177233 = 9803 x 9811

Step 4: Therefore, the least common multiple of 9803 and 9811 is 96177233.