Least Common Multiple of 9901 and 9909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9901 and 9909 the smallest integer that is 98109009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9901 and 9909 is 98109009.

LCM(9901,9909) = 98109009

LCM of 9901 and 9909

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

LCM of:
and

Least Common Multiple of 9901 and 9909

LCM of 9901 and 9909 is 98109009

Least common multiple can be found by multiplying the highest exponent prime factors of 9901 and 9909. First we will calculate the prime factors of 9901 and 9909.

Prime Factorization of 9901


9901 9901
1

Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:

9901 = 99011

Prime Factorization of 9909


3 9909
3 3303
3 1101
367 367
1

Prime factors of 9909 are 3,367. Prime factorization of 9909 in exponential form is:

9909 = 33×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9901 and 9909.

LCM(9901,9909) = 33×3671×99011
LCM(9901,9909) = 98109009

Factors of 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1, 9901

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1, 3, 9, 27, 367, 1101, 3303, 9909

Least Common Multiple of 9901 and 9909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9901 and 9909, than apply into the LCM equation.

GCF(9901,9909) = 1
LCM(9901,9909) = ( 9901 × 9909) / 1
LCM(9901,9909) = 98109009 / 1
LCM(9901,9909) = 98109009

Properties of LCM 9901 and 9909

(i) The LCM of 9909 and 9901 is associative

LCM of 9901 and 9909 = LCM of 9909 and 9901

Related Least Common Multiples of 9901

Related Least Common Multiples of 9909

Frequently Asked Questions on LCM of 9901 and 9909

1. What is the LCM of 9901 and 9909?

Answer: LCM of 9901 and 9909 is 98109009.

2. What are the Factors of 9901?

Answer: Factors of 9901 are 1, 9901. There are 2 integers that are factors of 9901. The greatest factor of 9901 is 9901.

3. What are the Factors of 9909?

Answer: Factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909. There are 8 integers that are factors of 9909. The greatest factor of 9909 is 9909.

4. How to Find the LCM of 9901 and 9909?

Answer:

Least Common Multiple of 9901 and 9909 = 98109009

Step 1: Find the prime factorization of 9901

9901 = 9901

Step 2: Find the prime factorization of 9909

9909 = 3 x 3 x 3 x 367

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

LCM = 98109009 = 3 x 3 x 3 x 367 x 9901

Step 4: Therefore, the least common multiple of 9901 and 9909 is 98109009.