Least Common Multiple of 9918 and 9923

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

• Least Common Multiple of 9918 and 9923 by Prime method
• Least Common Multiple of 9918 and 9923 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9918 and 9923. First we will calculate the prime factors of 9918 and 9923.

Prime Factorization of 9918

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 9923

Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:

9923 = 9923¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9923.

LCM(9918,9923) = 2¹×3²×19¹×29¹×9923¹
LCM(9918,9923) = 98416314

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 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1, 9923

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9918 and 9923, than apply into the LCM equation.

GCF(9918,9923) = 1
LCM(9918,9923) = ( 9918 × 9923) / 1
LCM(9918,9923) = 98416314 / 1
LCM(9918,9923) = 98416314

(i) The LCM of 9923 and 9918 is associative

LCM of 9918 and 9923 = LCM of 9923 and 9918

1. What is the LCM of 9918 and 9923?

Answer: LCM of 9918 and 9923 is 98416314.

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 9923?

Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.

4. How to Find the LCM of 9918 and 9923?

Answer:

Least Common Multiple of 9918 and 9923 = 98416314

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 9923

9923 = 9923

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

LCM = 98416314 = 2 x 3 x 3 x 19 x 29 x 9923

Step 4: Therefore, the least common multiple of 9918 and 9923 is 98416314.