Least Common Multiple of 9912 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 9912 and 9918 the smallest integer that is 16384536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9912 and 9918 is 16384536.

LCM(9912,9918) = 16384536

LCM of 9912 and 9918

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

LCM of:
and

Least Common Multiple of 9912 and 9918

LCM of 9912 and 9918 is 16384536

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9918. First we will calculate the prime factors of 9912 and 9918.

Prime Factorization of 9912


2 9912
2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 9912 are 2, 3, 7,59. Prime factorization of 9912 in exponential form is:

9912 = 23×31×71×591

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 9912 and 9918.

LCM(9912,9918) = 23×32×71×191×291×591
LCM(9912,9918) = 16384536

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912

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 9912 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 9912 and 9918, than apply into the LCM equation.

GCF(9912,9918) = 6
LCM(9912,9918) = ( 9912 × 9918) / 6
LCM(9912,9918) = 98307216 / 6
LCM(9912,9918) = 16384536

Properties of LCM 9912 and 9918

(i) The LCM of 9918 and 9912 is associative

LCM of 9912 and 9918 = LCM of 9918 and 9912

Related Least Common Multiples of 9912

Related Least Common Multiples of 9918

Frequently Asked Questions on LCM of 9912 and 9918

1. What is the LCM of 9912 and 9918?

Answer: LCM of 9912 and 9918 is 16384536.

2. What are the Factors of 9912?

Answer: Factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. There are 32 integers that are factors of 9912. The greatest factor of 9912 is 9912.

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 9912 and 9918?

Answer:

Least Common Multiple of 9912 and 9918 = 16384536

Step 1: Find the prime factorization of 9912

9912 = 2 x 2 x 2 x 3 x 7 x 59

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 = 16384536 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 29 x 59

Step 4: Therefore, the least common multiple of 9912 and 9918 is 16384536.