Least Common Multiple of 9805 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 9805 and 9810 the smallest integer that is 19237410 that is divisible by both numbers.

Least Common Multiple (LCM) of 9805 and 9810 is 19237410.

LCM(9805,9810) = 19237410

LCM of 9805 and 9810

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

LCM of:
and

Least Common Multiple of 9805 and 9810

LCM of 9805 and 9810 is 19237410

Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9810. First we will calculate the prime factors of 9805 and 9810.

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 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 9805 and 9810.

LCM(9805,9810) = 21×32×51×371×531×1091
LCM(9805,9810) = 19237410

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 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 9805 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 9805 and 9810, than apply into the LCM equation.

GCF(9805,9810) = 5
LCM(9805,9810) = ( 9805 × 9810) / 5
LCM(9805,9810) = 96187050 / 5
LCM(9805,9810) = 19237410

Properties of LCM 9805 and 9810

(i) The LCM of 9810 and 9805 is associative

LCM of 9805 and 9810 = LCM of 9810 and 9805

Related Least Common Multiples of 9805

Related Least Common Multiples of 9810

Frequently Asked Questions on LCM of 9805 and 9810

1. What is the LCM of 9805 and 9810?

Answer: LCM of 9805 and 9810 is 19237410.

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 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 9805 and 9810?

Answer:

Least Common Multiple of 9805 and 9810 = 19237410

Step 1: Find the prime factorization of 9805

9805 = 5 x 37 x 53

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 = 19237410 = 2 x 3 x 3 x 5 x 37 x 53 x 109

Step 4: Therefore, the least common multiple of 9805 and 9810 is 19237410.