Least Common Multiple of 9801 and 9804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9801 and 9804 the smallest integer that is 32029668 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9804 is 32029668.

LCM(9801,9804) = 32029668

LCM of 9801 and 9804

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

LCM of:
and

Least Common Multiple of 9801 and 9804

LCM of 9801 and 9804 is 32029668

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9804. First we will calculate the prime factors of 9801 and 9804.

Prime Factorization of 9801


3 9801
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 9801 are 3,11. Prime factorization of 9801 in exponential form is:

9801 = 34×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9804.

LCM(9801,9804) = 22×34×112×191×431
LCM(9801,9804) = 32029668

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

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

Least Common Multiple of 9801 and 9804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9804, than apply into the LCM equation.

GCF(9801,9804) = 3
LCM(9801,9804) = ( 9801 × 9804) / 3
LCM(9801,9804) = 96089004 / 3
LCM(9801,9804) = 32029668

Properties of LCM 9801 and 9804

(i) The LCM of 9804 and 9801 is associative

LCM of 9801 and 9804 = LCM of 9804 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9804

Frequently Asked Questions on LCM of 9801 and 9804

1. What is the LCM of 9801 and 9804?

Answer: LCM of 9801 and 9804 is 32029668.

2. What are the Factors of 9801?

Answer: Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801. There are 15 integers that are factors of 9801. The greatest factor of 9801 is 9801.

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 9801 and 9804?

Answer:

Least Common Multiple of 9801 and 9804 = 32029668

Step 1: Find the prime factorization of 9801

9801 = 3 x 3 x 3 x 3 x 11 x 11

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 = 32029668 = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 9801 and 9804 is 32029668.