Least Common Multiple of 9811 and 9819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9811 and 9819 the smallest integer that is 96334209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9811 and 9819 is 96334209.

LCM(9811,9819) = 96334209

LCM of 9811 and 9819

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

LCM of:
and

Least Common Multiple of 9811 and 9819

LCM of 9811 and 9819 is 96334209

Least common multiple can be found by multiplying the highest exponent prime factors of 9811 and 9819. First we will calculate the prime factors of 9811 and 9819.

Prime Factorization of 9811


9811 9811
1

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

9811 = 98111

Prime Factorization of 9819


3 9819
3 3273
1091 1091
1

Prime factors of 9819 are 3,1091. Prime factorization of 9819 in exponential form is:

9819 = 32×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 9811 and 9819.

LCM(9811,9819) = 32×10911×98111
LCM(9811,9819) = 96334209

Factors of 9811

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

1, 9811

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1, 3, 9, 1091, 3273, 9819

Least Common Multiple of 9811 and 9819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9811 and 9819, than apply into the LCM equation.

GCF(9811,9819) = 1
LCM(9811,9819) = ( 9811 × 9819) / 1
LCM(9811,9819) = 96334209 / 1
LCM(9811,9819) = 96334209

Properties of LCM 9811 and 9819

(i) The LCM of 9819 and 9811 is associative

LCM of 9811 and 9819 = LCM of 9819 and 9811

Related Least Common Multiples of 9811

Related Least Common Multiples of 9819

Frequently Asked Questions on LCM of 9811 and 9819

1. What is the LCM of 9811 and 9819?

Answer: LCM of 9811 and 9819 is 96334209.

2. 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.

3. What are the Factors of 9819?

Answer: Factors of 9819 are 1, 3, 9, 1091, 3273, 9819. There are 6 integers that are factors of 9819. The greatest factor of 9819 is 9819.

4. How to Find the LCM of 9811 and 9819?

Answer:

Least Common Multiple of 9811 and 9819 = 96334209

Step 1: Find the prime factorization of 9811

9811 = 9811

Step 2: Find the prime factorization of 9819

9819 = 3 x 3 x 1091

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

LCM = 96334209 = 3 x 3 x 1091 x 9811

Step 4: Therefore, the least common multiple of 9811 and 9819 is 96334209.