Least Common Multiple of 9804 and 9808

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 9808 the smallest integer that is 24039408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9804 and 9808 is 24039408.

LCM(9804,9808) = 24039408

LCM of 9804 and 9808

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

LCM of:
and

Least Common Multiple of 9804 and 9808

LCM of 9804 and 9808 is 24039408

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9808. First we will calculate the prime factors of 9804 and 9808.

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 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9808.

LCM(9804,9808) = 24×31×191×431×6131
LCM(9804,9808) = 24039408

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 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

Least Common Multiple of 9804 and 9808 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 9808, than apply into the LCM equation.

GCF(9804,9808) = 4
LCM(9804,9808) = ( 9804 × 9808) / 4
LCM(9804,9808) = 96157632 / 4
LCM(9804,9808) = 24039408

Properties of LCM 9804 and 9808

(i) The LCM of 9808 and 9804 is associative

LCM of 9804 and 9808 = LCM of 9808 and 9804

Related Least Common Multiples of 9804

Related Least Common Multiples of 9808

Frequently Asked Questions on LCM of 9804 and 9808

1. What is the LCM of 9804 and 9808?

Answer: LCM of 9804 and 9808 is 24039408.

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 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

4. How to Find the LCM of 9804 and 9808?

Answer:

Least Common Multiple of 9804 and 9808 = 24039408

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 9808

9808 = 2 x 2 x 2 x 2 x 613

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

LCM = 24039408 = 2 x 2 x 2 x 2 x 3 x 19 x 43 x 613

Step 4: Therefore, the least common multiple of 9804 and 9808 is 24039408.