Least Common Multiple of 9918 and 9926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9918 and 9926 the smallest integer that is 49223034 that is divisible by both numbers.

Least Common Multiple (LCM) of 9918 and 9926 is 49223034.

LCM(9918,9926) = 49223034

LCM of 9918 and 9926

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

LCM of:
and

Least Common Multiple of 9918 and 9926

LCM of 9918 and 9926 is 49223034

Least common multiple can be found by multiplying the highest exponent prime factors of 9918 and 9926. First we will calculate the prime factors of 9918 and 9926.

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

Prime Factorization of 9926


2 9926
7 4963
709 709
1

Prime factors of 9926 are 2, 7,709. Prime factorization of 9926 in exponential form is:

9926 = 21×71×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9926.

LCM(9918,9926) = 21×32×71×191×291×7091
LCM(9918,9926) = 49223034

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

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1, 2, 7, 14, 709, 1418, 4963, 9926

Least Common Multiple of 9918 and 9926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9918 and 9926, than apply into the LCM equation.

GCF(9918,9926) = 2
LCM(9918,9926) = ( 9918 × 9926) / 2
LCM(9918,9926) = 98446068 / 2
LCM(9918,9926) = 49223034

Properties of LCM 9918 and 9926

(i) The LCM of 9926 and 9918 is associative

LCM of 9918 and 9926 = LCM of 9926 and 9918

Related Least Common Multiples of 9918

Related Least Common Multiples of 9926

Frequently Asked Questions on LCM of 9918 and 9926

1. What is the LCM of 9918 and 9926?

Answer: LCM of 9918 and 9926 is 49223034.

2. 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.

3. What are the Factors of 9926?

Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.

4. How to Find the LCM of 9918 and 9926?

Answer:

Least Common Multiple of 9918 and 9926 = 49223034

Step 1: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

Step 2: Find the prime factorization of 9926

9926 = 2 x 7 x 709

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

LCM = 49223034 = 2 x 3 x 3 x 7 x 19 x 29 x 709

Step 4: Therefore, the least common multiple of 9918 and 9926 is 49223034.