Least Common Multiple of 9804 and 9805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9804 and 9805 the smallest integer that is 96128220 that is divisible by both numbers.

Least Common Multiple (LCM) of 9804 and 9805 is 96128220.

LCM(9804,9805) = 96128220

LCM of 9804 and 9805

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

LCM of:
and

Least Common Multiple of 9804 and 9805

LCM of 9804 and 9805 is 96128220

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9805. First we will calculate the prime factors of 9804 and 9805.

Prime Factorization of 9804


2 9804
2 4902
3 2451
19 817
43 43
1

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 9805


5 9805
37 1961
53 53
1

Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:

9805 = 51×371×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9805.

LCM(9804,9805) = 22×31×51×191×371×431×531
LCM(9804,9805) = 96128220

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 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1, 5, 37, 53, 185, 265, 1961, 9805

Least Common Multiple of 9804 and 9805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9804 and 9805, than apply into the LCM equation.

GCF(9804,9805) = 1
LCM(9804,9805) = ( 9804 × 9805) / 1
LCM(9804,9805) = 96128220 / 1
LCM(9804,9805) = 96128220

Properties of LCM 9804 and 9805

(i) The LCM of 9805 and 9804 is associative

LCM of 9804 and 9805 = LCM of 9805 and 9804

Related Least Common Multiples of 9804

Related Least Common Multiples of 9805

Frequently Asked Questions on LCM of 9804 and 9805

1. What is the LCM of 9804 and 9805?

Answer: LCM of 9804 and 9805 is 96128220.

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 9805?

Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.

4. How to Find the LCM of 9804 and 9805?

Answer:

Least Common Multiple of 9804 and 9805 = 96128220

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 9805

9805 = 5 x 37 x 53

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

LCM = 96128220 = 2 x 2 x 3 x 5 x 19 x 37 x 43 x 53

Step 4: Therefore, the least common multiple of 9804 and 9805 is 96128220.