Least Common Multiple of 9809 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 9809 and 9812 the smallest integer that is 96245908 that is divisible by both numbers.

Least Common Multiple (LCM) of 9809 and 9812 is 96245908.

LCM(9809,9812) = 96245908

LCM of 9809 and 9812

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

LCM of:
and

Least Common Multiple of 9809 and 9812

LCM of 9809 and 9812 is 96245908

Least common multiple can be found by multiplying the highest exponent prime factors of 9809 and 9812. First we will calculate the prime factors of 9809 and 9812.

Prime Factorization of 9809


17 9809
577 577
1

Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:

9809 = 171×5771

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 9809 and 9812.

LCM(9809,9812) = 22×111×171×2231×5771
LCM(9809,9812) = 96245908

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1, 17, 577, 9809

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 9809 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 9809 and 9812, than apply into the LCM equation.

GCF(9809,9812) = 1
LCM(9809,9812) = ( 9809 × 9812) / 1
LCM(9809,9812) = 96245908 / 1
LCM(9809,9812) = 96245908

Properties of LCM 9809 and 9812

(i) The LCM of 9812 and 9809 is associative

LCM of 9809 and 9812 = LCM of 9812 and 9809

Related Least Common Multiples of 9809

Related Least Common Multiples of 9812

Frequently Asked Questions on LCM of 9809 and 9812

1. What is the LCM of 9809 and 9812?

Answer: LCM of 9809 and 9812 is 96245908.

2. What are the Factors of 9809?

Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.

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 9809 and 9812?

Answer:

Least Common Multiple of 9809 and 9812 = 96245908

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

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 = 96245908 = 2 x 2 x 11 x 17 x 223 x 577

Step 4: Therefore, the least common multiple of 9809 and 9812 is 96245908.