Least Common Multiple of 9910 and 9915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9910 and 9915 the smallest integer that is 19651530 that is divisible by both numbers.

Least Common Multiple (LCM) of 9910 and 9915 is 19651530.

LCM(9910,9915) = 19651530

LCM of 9910 and 9915

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

LCM of:
and

Least Common Multiple of 9910 and 9915

LCM of 9910 and 9915 is 19651530

Least common multiple can be found by multiplying the highest exponent prime factors of 9910 and 9915. First we will calculate the prime factors of 9910 and 9915.

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

Prime Factorization of 9915


3 9915
5 3305
661 661
1

Prime factors of 9915 are 3, 5,661. Prime factorization of 9915 in exponential form is:

9915 = 31×51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 9910 and 9915.

LCM(9910,9915) = 21×31×51×6611×9911
LCM(9910,9915) = 19651530

Factors of 9910

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

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

Factors of 9915

List of positive integer factors of 9915 that divides 9915 without a remainder.

1, 3, 5, 15, 661, 1983, 3305, 9915

Least Common Multiple of 9910 and 9915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9910 and 9915, than apply into the LCM equation.

GCF(9910,9915) = 5
LCM(9910,9915) = ( 9910 × 9915) / 5
LCM(9910,9915) = 98257650 / 5
LCM(9910,9915) = 19651530

Properties of LCM 9910 and 9915

(i) The LCM of 9915 and 9910 is associative

LCM of 9910 and 9915 = LCM of 9915 and 9910

Related Least Common Multiples of 9910

Related Least Common Multiples of 9915

Frequently Asked Questions on LCM of 9910 and 9915

1. What is the LCM of 9910 and 9915?

Answer: LCM of 9910 and 9915 is 19651530.

2. 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.

3. What are the Factors of 9915?

Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.

4. How to Find the LCM of 9910 and 9915?

Answer:

Least Common Multiple of 9910 and 9915 = 19651530

Step 1: Find the prime factorization of 9910

9910 = 2 x 5 x 991

Step 2: Find the prime factorization of 9915

9915 = 3 x 5 x 661

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

LCM = 19651530 = 2 x 3 x 5 x 661 x 991

Step 4: Therefore, the least common multiple of 9910 and 9915 is 19651530.