Least Common Multiple of 9804 and 9810

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 9810 the smallest integer that is 16029540 that is divisible by both numbers.

Least Common Multiple (LCM) of 9804 and 9810 is 16029540.

LCM(9804,9810) = 16029540

LCM of 9804 and 9810

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

LCM of:
and

Least Common Multiple of 9804 and 9810

LCM of 9804 and 9810 is 16029540

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9810. First we will calculate the prime factors of 9804 and 9810.

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 9810


2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 9810 are 2, 3, 5,109. Prime factorization of 9810 in exponential form is:

9810 = 21×32×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9810.

LCM(9804,9810) = 22×32×51×191×431×1091
LCM(9804,9810) = 16029540

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 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

Least Common Multiple of 9804 and 9810 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 9810, than apply into the LCM equation.

GCF(9804,9810) = 6
LCM(9804,9810) = ( 9804 × 9810) / 6
LCM(9804,9810) = 96177240 / 6
LCM(9804,9810) = 16029540

Properties of LCM 9804 and 9810

(i) The LCM of 9810 and 9804 is associative

LCM of 9804 and 9810 = LCM of 9810 and 9804

Related Least Common Multiples of 9804

Related Least Common Multiples of 9810

Frequently Asked Questions on LCM of 9804 and 9810

1. What is the LCM of 9804 and 9810?

Answer: LCM of 9804 and 9810 is 16029540.

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 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

4. How to Find the LCM of 9804 and 9810?

Answer:

Least Common Multiple of 9804 and 9810 = 16029540

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 9810

9810 = 2 x 3 x 3 x 5 x 109

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

LCM = 16029540 = 2 x 2 x 3 x 3 x 5 x 19 x 43 x 109

Step 4: Therefore, the least common multiple of 9804 and 9810 is 16029540.