Least Common Multiple of 9902 and 9908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9902 and 9908 the smallest integer that is 49054508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9902 and 9908 is 49054508.

LCM(9902,9908) = 49054508

LCM of 9902 and 9908

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

LCM of:
and

Least Common Multiple of 9902 and 9908

LCM of 9902 and 9908 is 49054508

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9908. First we will calculate the prime factors of 9902 and 9908.

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

Prime Factorization of 9908


2 9908
2 4954
2477 2477
1

Prime factors of 9908 are 2,2477. Prime factorization of 9908 in exponential form is:

9908 = 22×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9908.

LCM(9902,9908) = 22×24771×49511
LCM(9902,9908) = 49054508

Factors of 9902

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

1, 2, 4951, 9902

Factors of 9908

List of positive integer factors of 9908 that divides 9908 without a remainder.

1, 2, 4, 2477, 4954, 9908

Least Common Multiple of 9902 and 9908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9902 and 9908, than apply into the LCM equation.

GCF(9902,9908) = 2
LCM(9902,9908) = ( 9902 × 9908) / 2
LCM(9902,9908) = 98109016 / 2
LCM(9902,9908) = 49054508

Properties of LCM 9902 and 9908

(i) The LCM of 9908 and 9902 is associative

LCM of 9902 and 9908 = LCM of 9908 and 9902

Related Least Common Multiples of 9902

Related Least Common Multiples of 9908

Frequently Asked Questions on LCM of 9902 and 9908

1. What is the LCM of 9902 and 9908?

Answer: LCM of 9902 and 9908 is 49054508.

2. 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.

3. What are the Factors of 9908?

Answer: Factors of 9908 are 1, 2, 4, 2477, 4954, 9908. There are 6 integers that are factors of 9908. The greatest factor of 9908 is 9908.

4. How to Find the LCM of 9902 and 9908?

Answer:

Least Common Multiple of 9902 and 9908 = 49054508

Step 1: Find the prime factorization of 9902

9902 = 2 x 4951

Step 2: Find the prime factorization of 9908

9908 = 2 x 2 x 2477

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

LCM = 49054508 = 2 x 2 x 2477 x 4951

Step 4: Therefore, the least common multiple of 9902 and 9908 is 49054508.