Least Common Multiple of 9896 and 9901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9896 and 9901 the smallest integer that is 97980296 that is divisible by both numbers.

Least Common Multiple (LCM) of 9896 and 9901 is 97980296.

LCM(9896,9901) = 97980296

LCM of 9896 and 9901

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

LCM of:
and

Least Common Multiple of 9896 and 9901

LCM of 9896 and 9901 is 97980296

Least common multiple can be found by multiplying the highest exponent prime factors of 9896 and 9901. First we will calculate the prime factors of 9896 and 9901.

Prime Factorization of 9896


2 9896
2 4948
2 2474
1237 1237
1

Prime factors of 9896 are 2,1237. Prime factorization of 9896 in exponential form is:

9896 = 23×12371

Prime Factorization of 9901


9901 9901
1

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

9901 = 99011

Now multiplying the highest exponent prime factors to calculate the LCM of 9896 and 9901.

LCM(9896,9901) = 23×12371×99011
LCM(9896,9901) = 97980296

Factors of 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1, 2, 4, 8, 1237, 2474, 4948, 9896

Factors of 9901

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

1, 9901

Least Common Multiple of 9896 and 9901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9896 and 9901, than apply into the LCM equation.

GCF(9896,9901) = 1
LCM(9896,9901) = ( 9896 × 9901) / 1
LCM(9896,9901) = 97980296 / 1
LCM(9896,9901) = 97980296

Properties of LCM 9896 and 9901

(i) The LCM of 9901 and 9896 is associative

LCM of 9896 and 9901 = LCM of 9901 and 9896

Related Least Common Multiples of 9896

Related Least Common Multiples of 9901

Frequently Asked Questions on LCM of 9896 and 9901

1. What is the LCM of 9896 and 9901?

Answer: LCM of 9896 and 9901 is 97980296.

2. What are the Factors of 9896?

Answer: Factors of 9896 are 1, 2, 4, 8, 1237, 2474, 4948, 9896. There are 8 integers that are factors of 9896. The greatest factor of 9896 is 9896.

3. 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.

4. How to Find the LCM of 9896 and 9901?

Answer:

Least Common Multiple of 9896 and 9901 = 97980296

Step 1: Find the prime factorization of 9896

9896 = 2 x 2 x 2 x 1237

Step 2: Find the prime factorization of 9901

9901 = 9901

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

LCM = 97980296 = 2 x 2 x 2 x 1237 x 9901

Step 4: Therefore, the least common multiple of 9896 and 9901 is 97980296.