Least Common Multiple of 9804 and 9807

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 9807 the smallest integer that is 32049276 that is divisible by both numbers.

Least Common Multiple (LCM) of 9804 and 9807 is 32049276.

LCM(9804,9807) = 32049276

LCM of 9804 and 9807

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

LCM of:
and

Least Common Multiple of 9804 and 9807

LCM of 9804 and 9807 is 32049276

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9807. First we will calculate the prime factors of 9804 and 9807.

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 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9807.

LCM(9804,9807) = 22×31×71×191×431×4671
LCM(9804,9807) = 32049276

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 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1, 3, 7, 21, 467, 1401, 3269, 9807

Least Common Multiple of 9804 and 9807 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 9807, than apply into the LCM equation.

GCF(9804,9807) = 3
LCM(9804,9807) = ( 9804 × 9807) / 3
LCM(9804,9807) = 96147828 / 3
LCM(9804,9807) = 32049276

Properties of LCM 9804 and 9807

(i) The LCM of 9807 and 9804 is associative

LCM of 9804 and 9807 = LCM of 9807 and 9804

Related Least Common Multiples of 9804

Related Least Common Multiples of 9807

Frequently Asked Questions on LCM of 9804 and 9807

1. What is the LCM of 9804 and 9807?

Answer: LCM of 9804 and 9807 is 32049276.

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 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

4. How to Find the LCM of 9804 and 9807?

Answer:

Least Common Multiple of 9804 and 9807 = 32049276

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 9807

9807 = 3 x 7 x 467

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

LCM = 32049276 = 2 x 2 x 3 x 7 x 19 x 43 x 467

Step 4: Therefore, the least common multiple of 9804 and 9807 is 32049276.