Least Common Multiple of 9896 and 9902

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 9902 the smallest integer that is 48995096 that is divisible by both numbers.

Least Common Multiple (LCM) of 9896 and 9902 is 48995096.

LCM(9896,9902) = 48995096

LCM of 9896 and 9902

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

LCM of:
and

Least Common Multiple of 9896 and 9902

LCM of 9896 and 9902 is 48995096

Least common multiple can be found by multiplying the highest exponent prime factors of 9896 and 9902. First we will calculate the prime factors of 9896 and 9902.

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 9902


2 9902
4951 4951
1

Prime factors of 9902 are 2,4951. Prime factorization of 9902 in exponential form is:

9902 = 21×49511

Now multiplying the highest exponent prime factors to calculate the LCM of 9896 and 9902.

LCM(9896,9902) = 23×12371×49511
LCM(9896,9902) = 48995096

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 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1, 2, 4951, 9902

Least Common Multiple of 9896 and 9902 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 9902, than apply into the LCM equation.

GCF(9896,9902) = 2
LCM(9896,9902) = ( 9896 × 9902) / 2
LCM(9896,9902) = 97990192 / 2
LCM(9896,9902) = 48995096

Properties of LCM 9896 and 9902

(i) The LCM of 9902 and 9896 is associative

LCM of 9896 and 9902 = LCM of 9902 and 9896

Related Least Common Multiples of 9896

Related Least Common Multiples of 9902

Frequently Asked Questions on LCM of 9896 and 9902

1. What is the LCM of 9896 and 9902?

Answer: LCM of 9896 and 9902 is 48995096.

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 9902?

Answer: Factors of 9902 are 1, 2, 4951, 9902. There are 4 integers that are factors of 9902. The greatest factor of 9902 is 9902.

4. How to Find the LCM of 9896 and 9902?

Answer:

Least Common Multiple of 9896 and 9902 = 48995096

Step 1: Find the prime factorization of 9896

9896 = 2 x 2 x 2 x 1237

Step 2: Find the prime factorization of 9902

9902 = 2 x 4951

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

LCM = 48995096 = 2 x 2 x 2 x 1237 x 4951

Step 4: Therefore, the least common multiple of 9896 and 9902 is 48995096.