Least Common Multiple of 9918 and 9922

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 9922 the smallest integer that is 49203198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9918 and 9922 is 49203198.

LCM(9918,9922) = 49203198

LCM of 9918 and 9922

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

LCM of:
and

Least Common Multiple of 9918 and 9922

LCM of 9918 and 9922 is 49203198

Least common multiple can be found by multiplying the highest exponent prime factors of 9918 and 9922. First we will calculate the prime factors of 9918 and 9922.

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 9922


2 9922
11 4961
11 451
41 41
1

Prime factors of 9922 are 2, 11,41. Prime factorization of 9922 in exponential form is:

9922 = 21×112×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9922.

LCM(9918,9922) = 21×32×112×191×291×411
LCM(9918,9922) = 49203198

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 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922

Least Common Multiple of 9918 and 9922 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 9922, than apply into the LCM equation.

GCF(9918,9922) = 2
LCM(9918,9922) = ( 9918 × 9922) / 2
LCM(9918,9922) = 98406396 / 2
LCM(9918,9922) = 49203198

Properties of LCM 9918 and 9922

(i) The LCM of 9922 and 9918 is associative

LCM of 9918 and 9922 = LCM of 9922 and 9918

Related Least Common Multiples of 9918

Related Least Common Multiples of 9922

Frequently Asked Questions on LCM of 9918 and 9922

1. What is the LCM of 9918 and 9922?

Answer: LCM of 9918 and 9922 is 49203198.

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 9922?

Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.

4. How to Find the LCM of 9918 and 9922?

Answer:

Least Common Multiple of 9918 and 9922 = 49203198

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 9922

9922 = 2 x 11 x 11 x 41

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

LCM = 49203198 = 2 x 3 x 3 x 11 x 11 x 19 x 29 x 41

Step 4: Therefore, the least common multiple of 9918 and 9922 is 49203198.