Least Common Multiple of 9911 and 9918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9911 and 9918 the smallest integer that is 98297298 that is divisible by both numbers.

Least Common Multiple (LCM) of 9911 and 9918 is 98297298.

LCM(9911,9918) = 98297298

LCM of 9911 and 9918

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

LCM of:
and

Least Common Multiple of 9911 and 9918

LCM of 9911 and 9918 is 98297298

Least common multiple can be found by multiplying the highest exponent prime factors of 9911 and 9918. First we will calculate the prime factors of 9911 and 9918.

Prime Factorization of 9911


11 9911
17 901
53 53
1

Prime factors of 9911 are 11, 17,53. Prime factorization of 9911 in exponential form is:

9911 = 111×171×531

Prime Factorization of 9918


2 9918
3 4959
3 1653
19 551
29 29
1

Prime factors of 9918 are 2, 3, 19,29. Prime factorization of 9918 in exponential form is:

9918 = 21×32×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9911 and 9918.

LCM(9911,9918) = 21×32×111×171×191×291×531
LCM(9911,9918) = 98297298

Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1, 11, 17, 53, 187, 583, 901, 9911

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918

Least Common Multiple of 9911 and 9918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9911 and 9918, than apply into the LCM equation.

GCF(9911,9918) = 1
LCM(9911,9918) = ( 9911 × 9918) / 1
LCM(9911,9918) = 98297298 / 1
LCM(9911,9918) = 98297298

Properties of LCM 9911 and 9918

(i) The LCM of 9918 and 9911 is associative

LCM of 9911 and 9918 = LCM of 9918 and 9911

Related Least Common Multiples of 9911

Related Least Common Multiples of 9918

Frequently Asked Questions on LCM of 9911 and 9918

1. What is the LCM of 9911 and 9918?

Answer: LCM of 9911 and 9918 is 98297298.

2. What are the Factors of 9911?

Answer: Factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911. There are 8 integers that are factors of 9911. The greatest factor of 9911 is 9911.

3. What are the Factors of 9918?

Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.

4. How to Find the LCM of 9911 and 9918?

Answer:

Least Common Multiple of 9911 and 9918 = 98297298

Step 1: Find the prime factorization of 9911

9911 = 11 x 17 x 53

Step 2: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

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

LCM = 98297298 = 2 x 3 x 3 x 11 x 17 x 19 x 29 x 53

Step 4: Therefore, the least common multiple of 9911 and 9918 is 98297298.