Least Common Multiple of 9807 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 9807 and 9811 the smallest integer that is 96216477 that is divisible by both numbers.

Least Common Multiple (LCM) of 9807 and 9811 is 96216477.

LCM(9807,9811) = 96216477

LCM of 9807 and 9811

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

LCM of:
and

Least Common Multiple of 9807 and 9811

LCM of 9807 and 9811 is 96216477

Least common multiple can be found by multiplying the highest exponent prime factors of 9807 and 9811. First we will calculate the prime factors of 9807 and 9811.

Prime Factorization of 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

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 9807 and 9811.

LCM(9807,9811) = 31×71×4671×98111
LCM(9807,9811) = 96216477

Factors of 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1, 3, 7, 21, 467, 1401, 3269, 9807

Factors of 9811

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

1, 9811

Least Common Multiple of 9807 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 9807 and 9811, than apply into the LCM equation.

GCF(9807,9811) = 1
LCM(9807,9811) = ( 9807 × 9811) / 1
LCM(9807,9811) = 96216477 / 1
LCM(9807,9811) = 96216477

Properties of LCM 9807 and 9811

(i) The LCM of 9811 and 9807 is associative

LCM of 9807 and 9811 = LCM of 9811 and 9807

Related Least Common Multiples of 9807

Related Least Common Multiples of 9811

Frequently Asked Questions on LCM of 9807 and 9811

1. What is the LCM of 9807 and 9811?

Answer: LCM of 9807 and 9811 is 96216477.

2. What are the Factors of 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

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 9807 and 9811?

Answer:

Least Common Multiple of 9807 and 9811 = 96216477

Step 1: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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 = 96216477 = 3 x 7 x 467 x 9811

Step 4: Therefore, the least common multiple of 9807 and 9811 is 96216477.