Least Common Multiple of 9806 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 9806 and 9810 the smallest integer that is 48098430 that is divisible by both numbers.

Least Common Multiple (LCM) of 9806 and 9810 is 48098430.

LCM(9806,9810) = 48098430

LCM of 9806 and 9810

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

LCM of:
and

Least Common Multiple of 9806 and 9810

LCM of 9806 and 9810 is 48098430

Least common multiple can be found by multiplying the highest exponent prime factors of 9806 and 9810. First we will calculate the prime factors of 9806 and 9810.

Prime Factorization of 9806


2 9806
4903 4903
1

Prime factors of 9806 are 2,4903. Prime factorization of 9806 in exponential form is:

9806 = 21×49031

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 9806 and 9810.

LCM(9806,9810) = 21×32×51×1091×49031
LCM(9806,9810) = 48098430

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1, 2, 4903, 9806

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 9806 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 9806 and 9810, than apply into the LCM equation.

GCF(9806,9810) = 2
LCM(9806,9810) = ( 9806 × 9810) / 2
LCM(9806,9810) = 96196860 / 2
LCM(9806,9810) = 48098430

Properties of LCM 9806 and 9810

(i) The LCM of 9810 and 9806 is associative

LCM of 9806 and 9810 = LCM of 9810 and 9806

Related Least Common Multiples of 9806

Related Least Common Multiples of 9810

Frequently Asked Questions on LCM of 9806 and 9810

1. What is the LCM of 9806 and 9810?

Answer: LCM of 9806 and 9810 is 48098430.

2. What are the Factors of 9806?

Answer: Factors of 9806 are 1, 2, 4903, 9806. There are 4 integers that are factors of 9806. The greatest factor of 9806 is 9806.

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 9806 and 9810?

Answer:

Least Common Multiple of 9806 and 9810 = 48098430

Step 1: Find the prime factorization of 9806

9806 = 2 x 4903

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 = 48098430 = 2 x 3 x 3 x 5 x 109 x 4903

Step 4: Therefore, the least common multiple of 9806 and 9810 is 48098430.