Least Common Multiple of 9902 and 9910

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 9910 the smallest integer that is 49064410 that is divisible by both numbers.

Least Common Multiple (LCM) of 9902 and 9910 is 49064410.

LCM(9902,9910) = 49064410

LCM of 9902 and 9910

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

LCM of:
and

Least Common Multiple of 9902 and 9910

LCM of 9902 and 9910 is 49064410

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9910. First we will calculate the prime factors of 9902 and 9910.

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 9910


2 9910
5 4955
991 991
1

Prime factors of 9910 are 2, 5,991. Prime factorization of 9910 in exponential form is:

9910 = 21×51×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9910.

LCM(9902,9910) = 21×51×9911×49511
LCM(9902,9910) = 49064410

Factors of 9902

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

1, 2, 4951, 9902

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1, 2, 5, 10, 991, 1982, 4955, 9910

Least Common Multiple of 9902 and 9910 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 9910, than apply into the LCM equation.

GCF(9902,9910) = 2
LCM(9902,9910) = ( 9902 × 9910) / 2
LCM(9902,9910) = 98128820 / 2
LCM(9902,9910) = 49064410

Properties of LCM 9902 and 9910

(i) The LCM of 9910 and 9902 is associative

LCM of 9902 and 9910 = LCM of 9910 and 9902

Related Least Common Multiples of 9902

Related Least Common Multiples of 9910

Frequently Asked Questions on LCM of 9902 and 9910

1. What is the LCM of 9902 and 9910?

Answer: LCM of 9902 and 9910 is 49064410.

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 9910?

Answer: Factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910. There are 8 integers that are factors of 9910. The greatest factor of 9910 is 9910.

4. How to Find the LCM of 9902 and 9910?

Answer:

Least Common Multiple of 9902 and 9910 = 49064410

Step 1: Find the prime factorization of 9902

9902 = 2 x 4951

Step 2: Find the prime factorization of 9910

9910 = 2 x 5 x 991

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

LCM = 49064410 = 2 x 5 x 991 x 4951

Step 4: Therefore, the least common multiple of 9902 and 9910 is 49064410.