Least Common Multiple of 9805 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 9805 and 9808 the smallest integer that is 96167440 that is divisible by both numbers.

Least Common Multiple (LCM) of 9805 and 9808 is 96167440.

LCM(9805,9808) = 96167440

LCM of 9805 and 9808

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

LCM of:
and

Least Common Multiple of 9805 and 9808

LCM of 9805 and 9808 is 96167440

Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9808. First we will calculate the prime factors of 9805 and 9808.

Prime Factorization of 9805


5 9805
37 1961
53 53
1

Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:

9805 = 51×371×531

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 9805 and 9808.

LCM(9805,9808) = 24×51×371×531×6131
LCM(9805,9808) = 96167440

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1, 5, 37, 53, 185, 265, 1961, 9805

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 9805 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 9805 and 9808, than apply into the LCM equation.

GCF(9805,9808) = 1
LCM(9805,9808) = ( 9805 × 9808) / 1
LCM(9805,9808) = 96167440 / 1
LCM(9805,9808) = 96167440

Properties of LCM 9805 and 9808

(i) The LCM of 9808 and 9805 is associative

LCM of 9805 and 9808 = LCM of 9808 and 9805

Related Least Common Multiples of 9805

Related Least Common Multiples of 9808

Frequently Asked Questions on LCM of 9805 and 9808

1. What is the LCM of 9805 and 9808?

Answer: LCM of 9805 and 9808 is 96167440.

2. What are the Factors of 9805?

Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.

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 9805 and 9808?

Answer:

Least Common Multiple of 9805 and 9808 = 96167440

Step 1: Find the prime factorization of 9805

9805 = 5 x 37 x 53

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 = 96167440 = 2 x 2 x 2 x 2 x 5 x 37 x 53 x 613

Step 4: Therefore, the least common multiple of 9805 and 9808 is 96167440.