Least Common Multiple of 9801 and 9809

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 9809 the smallest integer that is 96138009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9809 is 96138009.

LCM(9801,9809) = 96138009

LCM of 9801 and 9809

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

LCM of:
and

Least Common Multiple of 9801 and 9809

LCM of 9801 and 9809 is 96138009

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9809. First we will calculate the prime factors of 9801 and 9809.

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 9809


17 9809
577 577
1

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

9809 = 171×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9809.

LCM(9801,9809) = 34×112×171×5771
LCM(9801,9809) = 96138009

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 9809

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

1, 17, 577, 9809

Least Common Multiple of 9801 and 9809 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 9809, than apply into the LCM equation.

GCF(9801,9809) = 1
LCM(9801,9809) = ( 9801 × 9809) / 1
LCM(9801,9809) = 96138009 / 1
LCM(9801,9809) = 96138009

Properties of LCM 9801 and 9809

(i) The LCM of 9809 and 9801 is associative

LCM of 9801 and 9809 = LCM of 9809 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9809

Frequently Asked Questions on LCM of 9801 and 9809

1. What is the LCM of 9801 and 9809?

Answer: LCM of 9801 and 9809 is 96138009.

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 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.

4. How to Find the LCM of 9801 and 9809?

Answer:

Least Common Multiple of 9801 and 9809 = 96138009

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 9809

9809 = 17 x 577

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

LCM = 96138009 = 3 x 3 x 3 x 3 x 11 x 11 x 17 x 577

Step 4: Therefore, the least common multiple of 9801 and 9809 is 96138009.