Least Common Multiple of 9803 and 9807

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 9807 the smallest integer that is 96138021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9803 and 9807 is 96138021.

LCM(9803,9807) = 96138021

LCM of 9803 and 9807

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

LCM of:
and

Least Common Multiple of 9803 and 9807

LCM of 9803 and 9807 is 96138021

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9807. First we will calculate the prime factors of 9803 and 9807.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9807.

LCM(9803,9807) = 31×71×4671×98031
LCM(9803,9807) = 96138021

Factors of 9803

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

1, 9803

Factors of 9807

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

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

Least Common Multiple of 9803 and 9807 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 9807, than apply into the LCM equation.

GCF(9803,9807) = 1
LCM(9803,9807) = ( 9803 × 9807) / 1
LCM(9803,9807) = 96138021 / 1
LCM(9803,9807) = 96138021

Properties of LCM 9803 and 9807

(i) The LCM of 9807 and 9803 is associative

LCM of 9803 and 9807 = LCM of 9807 and 9803

Related Least Common Multiples of 9803

Related Least Common Multiples of 9807

Frequently Asked Questions on LCM of 9803 and 9807

1. What is the LCM of 9803 and 9807?

Answer: LCM of 9803 and 9807 is 96138021.

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 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.

4. How to Find the LCM of 9803 and 9807?

Answer:

Least Common Multiple of 9803 and 9807 = 96138021

Step 1: Find the prime factorization of 9803

9803 = 9803

Step 2: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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

LCM = 96138021 = 3 x 7 x 467 x 9803

Step 4: Therefore, the least common multiple of 9803 and 9807 is 96138021.