Least Common Multiple of 9803 and 9810

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

• Least Common Multiple of 9803 and 9810 by Prime method
• Least Common Multiple of 9803 and 9810 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9810. First we will calculate the prime factors of 9803 and 9810.

Prime Factorization of 9803

Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:

9803 = 9803¹

Prime Factorization of 9810

Prime factors of 9810 are 2, 3, 5,109. Prime factorization of 9810 in exponential form is:

9810 = 2¹×3²×5¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9810.

LCM(9803,9810) = 2¹×3²×5¹×109¹×9803¹
LCM(9803,9810) = 96167430

Factors of 9803

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

1, 9803

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9803 and 9810, than apply into the LCM equation.

GCF(9803,9810) = 1
LCM(9803,9810) = ( 9803 × 9810) / 1
LCM(9803,9810) = 96167430 / 1
LCM(9803,9810) = 96167430

(i) The LCM of 9810 and 9803 is associative

LCM of 9803 and 9810 = LCM of 9810 and 9803

1. What is the LCM of 9803 and 9810?

Answer: LCM of 9803 and 9810 is 96167430.

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 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

4. How to Find the LCM of 9803 and 9810?

Answer:

Least Common Multiple of 9803 and 9810 = 96167430

Step 1: Find the prime factorization of 9803

9803 = 9803

Step 2: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

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

LCM = 96167430 = 2 x 3 x 3 x 5 x 109 x 9803

Step 4: Therefore, the least common multiple of 9803 and 9810 is 96167430.