Least Common Multiple of 9809 and 9810

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 9810 the smallest integer that is 96226290 that is divisible by both numbers.

Least Common Multiple (LCM) of 9809 and 9810 is 96226290.

LCM(9809,9810) = 96226290

LCM of 9809 and 9810

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

LCM of:
and

Least Common Multiple of 9809 and 9810

LCM of 9809 and 9810 is 96226290

Least common multiple can be found by multiplying the highest exponent prime factors of 9809 and 9810. First we will calculate the prime factors of 9809 and 9810.

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 9810


2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 9810 are 2, 3, 5,109. Prime factorization of 9810 in exponential form is:

9810 = 21×32×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9809 and 9810.

LCM(9809,9810) = 21×32×51×171×1091×5771
LCM(9809,9810) = 96226290

Factors of 9809

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

1, 17, 577, 9809

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

Least Common Multiple of 9809 and 9810 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 9810, than apply into the LCM equation.

GCF(9809,9810) = 1
LCM(9809,9810) = ( 9809 × 9810) / 1
LCM(9809,9810) = 96226290 / 1
LCM(9809,9810) = 96226290

Properties of LCM 9809 and 9810

(i) The LCM of 9810 and 9809 is associative

LCM of 9809 and 9810 = LCM of 9810 and 9809

Related Least Common Multiples of 9809

Related Least Common Multiples of 9810

Frequently Asked Questions on LCM of 9809 and 9810

1. What is the LCM of 9809 and 9810?

Answer: LCM of 9809 and 9810 is 96226290.

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 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

4. How to Find the LCM of 9809 and 9810?

Answer:

Least Common Multiple of 9809 and 9810 = 96226290

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

Step 2: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

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

LCM = 96226290 = 2 x 3 x 3 x 5 x 17 x 109 x 577

Step 4: Therefore, the least common multiple of 9809 and 9810 is 96226290.