Least Common Multiple of 9805 and 9813

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 9813 the smallest integer that is 96216465 that is divisible by both numbers.

Least Common Multiple (LCM) of 9805 and 9813 is 96216465.

LCM(9805,9813) = 96216465

LCM of 9805 and 9813

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

LCM of:
and

Least Common Multiple of 9805 and 9813

LCM of 9805 and 9813 is 96216465

Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9813. First we will calculate the prime factors of 9805 and 9813.

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 9813


3 9813
3271 3271
1

Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:

9813 = 31×32711

Now multiplying the highest exponent prime factors to calculate the LCM of 9805 and 9813.

LCM(9805,9813) = 31×51×371×531×32711
LCM(9805,9813) = 96216465

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 9813

List of positive integer factors of 9813 that divides 9813 without a remainder.

1, 3, 3271, 9813

Least Common Multiple of 9805 and 9813 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 9813, than apply into the LCM equation.

GCF(9805,9813) = 1
LCM(9805,9813) = ( 9805 × 9813) / 1
LCM(9805,9813) = 96216465 / 1
LCM(9805,9813) = 96216465

Properties of LCM 9805 and 9813

(i) The LCM of 9813 and 9805 is associative

LCM of 9805 and 9813 = LCM of 9813 and 9805

Related Least Common Multiples of 9805

Related Least Common Multiples of 9813

Frequently Asked Questions on LCM of 9805 and 9813

1. What is the LCM of 9805 and 9813?

Answer: LCM of 9805 and 9813 is 96216465.

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 9813?

Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.

4. How to Find the LCM of 9805 and 9813?

Answer:

Least Common Multiple of 9805 and 9813 = 96216465

Step 1: Find the prime factorization of 9805

9805 = 5 x 37 x 53

Step 2: Find the prime factorization of 9813

9813 = 3 x 3271

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

LCM = 96216465 = 3 x 5 x 37 x 53 x 3271

Step 4: Therefore, the least common multiple of 9805 and 9813 is 96216465.