Least Common Multiple of 9801 and 9806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9801 and 9806 the smallest integer that is 96108606 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9806 is 96108606.

LCM(9801,9806) = 96108606

LCM of 9801 and 9806

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

LCM of:
and

Least Common Multiple of 9801 and 9806

LCM of 9801 and 9806 is 96108606

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9806. First we will calculate the prime factors of 9801 and 9806.

Prime Factorization of 9801


3 9801
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 9801 are 3,11. Prime factorization of 9801 in exponential form is:

9801 = 34×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9806.

LCM(9801,9806) = 21×34×112×49031
LCM(9801,9806) = 96108606

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

Factors of 9806

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

1, 2, 4903, 9806

Least Common Multiple of 9801 and 9806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9806, than apply into the LCM equation.

GCF(9801,9806) = 1
LCM(9801,9806) = ( 9801 × 9806) / 1
LCM(9801,9806) = 96108606 / 1
LCM(9801,9806) = 96108606

Properties of LCM 9801 and 9806

(i) The LCM of 9806 and 9801 is associative

LCM of 9801 and 9806 = LCM of 9806 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9806

Frequently Asked Questions on LCM of 9801 and 9806

1. What is the LCM of 9801 and 9806?

Answer: LCM of 9801 and 9806 is 96108606.

2. What are the Factors of 9801?

Answer: Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801. There are 15 integers that are factors of 9801. The greatest factor of 9801 is 9801.

3. 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.

4. How to Find the LCM of 9801 and 9806?

Answer:

Least Common Multiple of 9801 and 9806 = 96108606

Step 1: Find the prime factorization of 9801

9801 = 3 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 9806

9806 = 2 x 4903

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

LCM = 96108606 = 2 x 3 x 3 x 3 x 3 x 11 x 11 x 4903

Step 4: Therefore, the least common multiple of 9801 and 9806 is 96108606.