Least Common Multiple of 9803 and 9804

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

• Least Common Multiple of 9803 and 9804 by Prime method
• Least Common Multiple of 9803 and 9804 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9804. First we will calculate the prime factors of 9803 and 9804.

Prime Factorization of 9803

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

9803 = 9803¹

Prime Factorization of 9804

Prime factors of 9804 are 2, 3, 19,43. Prime factorization of 9804 in exponential form is:

9804 = 2²×3¹×19¹×43¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9804.

LCM(9803,9804) = 2²×3¹×19¹×43¹×9803¹
LCM(9803,9804) = 96108612

Factors of 9803

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

1, 9803

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9803 and 9804, than apply into the LCM equation.

GCF(9803,9804) = 1
LCM(9803,9804) = ( 9803 × 9804) / 1
LCM(9803,9804) = 96108612 / 1
LCM(9803,9804) = 96108612

(i) The LCM of 9804 and 9803 is associative

LCM of 9803 and 9804 = LCM of 9804 and 9803

1. What is the LCM of 9803 and 9804?

Answer: LCM of 9803 and 9804 is 96108612.

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 9804?

Answer: Factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804. There are 24 integers that are factors of 9804. The greatest factor of 9804 is 9804.

4. How to Find the LCM of 9803 and 9804?

Answer:

Least Common Multiple of 9803 and 9804 = 96108612

Step 1: Find the prime factorization of 9803

9803 = 9803

Step 2: Find the prime factorization of 9804

9804 = 2 x 2 x 3 x 19 x 43

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

LCM = 96108612 = 2 x 2 x 3 x 19 x 43 x 9803

Step 4: Therefore, the least common multiple of 9803 and 9804 is 96108612.