Least Common Multiple of 9804 and 9811

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

• Least Common Multiple of 9804 and 9811 by Prime method
• Least Common Multiple of 9804 and 9811 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9811. First we will calculate the prime factors of 9804 and 9811.

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

Prime Factorization of 9811

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 9804 and 9811.

LCM(9804,9811) = 2²×3¹×19¹×43¹×9811¹
LCM(9804,9811) = 96187044

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

Factors of 9811

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

1, 9811

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9804 and 9811, than apply into the LCM equation.

GCF(9804,9811) = 1
LCM(9804,9811) = ( 9804 × 9811) / 1
LCM(9804,9811) = 96187044 / 1
LCM(9804,9811) = 96187044

(i) The LCM of 9811 and 9804 is associative

LCM of 9804 and 9811 = LCM of 9811 and 9804

1. What is the LCM of 9804 and 9811?

Answer: LCM of 9804 and 9811 is 96187044.

2. 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.

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 9804 and 9811?

Answer:

Least Common Multiple of 9804 and 9811 = 96187044

Step 1: Find the prime factorization of 9804

9804 = 2 x 2 x 3 x 19 x 43

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 = 96187044 = 2 x 2 x 3 x 19 x 43 x 9811

Step 4: Therefore, the least common multiple of 9804 and 9811 is 96187044.