Least Common Multiple of 9804 and 9812

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 9812 the smallest integer that is 24049212 that is divisible by both numbers.

Least Common Multiple (LCM) of 9804 and 9812 is 24049212.

LCM(9804,9812) = 24049212

LCM of 9804 and 9812

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

LCM of:
and

Least Common Multiple of 9804 and 9812

LCM of 9804 and 9812 is 24049212

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9812. First we will calculate the prime factors of 9804 and 9812.

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 9812


2 9812
2 4906
11 2453
223 223
1

Prime factors of 9812 are 2, 11,223. Prime factorization of 9812 in exponential form is:

9812 = 22×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9812.

LCM(9804,9812) = 22×31×111×191×431×2231
LCM(9804,9812) = 24049212

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 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

Least Common Multiple of 9804 and 9812 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 9812, than apply into the LCM equation.

GCF(9804,9812) = 4
LCM(9804,9812) = ( 9804 × 9812) / 4
LCM(9804,9812) = 96196848 / 4
LCM(9804,9812) = 24049212

Properties of LCM 9804 and 9812

(i) The LCM of 9812 and 9804 is associative

LCM of 9804 and 9812 = LCM of 9812 and 9804

Related Least Common Multiples of 9804

Related Least Common Multiples of 9812

Frequently Asked Questions on LCM of 9804 and 9812

1. What is the LCM of 9804 and 9812?

Answer: LCM of 9804 and 9812 is 24049212.

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 9812?

Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.

4. How to Find the LCM of 9804 and 9812?

Answer:

Least Common Multiple of 9804 and 9812 = 24049212

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 9812

9812 = 2 x 2 x 11 x 223

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

LCM = 24049212 = 2 x 2 x 3 x 11 x 19 x 43 x 223

Step 4: Therefore, the least common multiple of 9804 and 9812 is 24049212.