Least Common Multiple of 9805 and 9812

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 9812 the smallest integer that is 96206660 that is divisible by both numbers.

Least Common Multiple (LCM) of 9805 and 9812 is 96206660.

LCM(9805,9812) = 96206660

LCM of 9805 and 9812

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

LCM of:
and

Least Common Multiple of 9805 and 9812

LCM of 9805 and 9812 is 96206660

Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9812. First we will calculate the prime factors of 9805 and 9812.

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 9812


2 9812
2 4906
11 2453
223 223
1

Prime factors of 9812 are 2, 11,223. Prime factorization of 9812 in exponential form is:

9812 = 22×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 9805 and 9812.

LCM(9805,9812) = 22×51×111×371×531×2231
LCM(9805,9812) = 96206660

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 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

Least Common Multiple of 9805 and 9812 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 9812, than apply into the LCM equation.

GCF(9805,9812) = 1
LCM(9805,9812) = ( 9805 × 9812) / 1
LCM(9805,9812) = 96206660 / 1
LCM(9805,9812) = 96206660

Properties of LCM 9805 and 9812

(i) The LCM of 9812 and 9805 is associative

LCM of 9805 and 9812 = LCM of 9812 and 9805

Related Least Common Multiples of 9805

Related Least Common Multiples of 9812

Frequently Asked Questions on LCM of 9805 and 9812

1. What is the LCM of 9805 and 9812?

Answer: LCM of 9805 and 9812 is 96206660.

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 9812?

Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.

4. How to Find the LCM of 9805 and 9812?

Answer:

Least Common Multiple of 9805 and 9812 = 96206660

Step 1: Find the prime factorization of 9805

9805 = 5 x 37 x 53

Step 2: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

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

LCM = 96206660 = 2 x 2 x 5 x 11 x 37 x 53 x 223

Step 4: Therefore, the least common multiple of 9805 and 9812 is 96206660.