Least Common Multiple of 9933 and 9939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9933 and 9939 the smallest integer that is 32908029 that is divisible by both numbers.

Least Common Multiple (LCM) of 9933 and 9939 is 32908029.

LCM(9933,9939) = 32908029

LCM of 9933 and 9939

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

LCM of:
and

Least Common Multiple of 9933 and 9939

LCM of 9933 and 9939 is 32908029

Least common multiple can be found by multiplying the highest exponent prime factors of 9933 and 9939. First we will calculate the prime factors of 9933 and 9939.

Prime Factorization of 9933


3 9933
7 3311
11 473
43 43
1

Prime factors of 9933 are 3, 7, 11,43. Prime factorization of 9933 in exponential form is:

9933 = 31×71×111×431

Prime Factorization of 9939


3 9939
3313 3313
1

Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:

9939 = 31×33131

Now multiplying the highest exponent prime factors to calculate the LCM of 9933 and 9939.

LCM(9933,9939) = 31×71×111×431×33131
LCM(9933,9939) = 32908029

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933

Factors of 9939

List of positive integer factors of 9939 that divides 9939 without a remainder.

1, 3, 3313, 9939

Least Common Multiple of 9933 and 9939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9933 and 9939, than apply into the LCM equation.

GCF(9933,9939) = 3
LCM(9933,9939) = ( 9933 × 9939) / 3
LCM(9933,9939) = 98724087 / 3
LCM(9933,9939) = 32908029

Properties of LCM 9933 and 9939

(i) The LCM of 9939 and 9933 is associative

LCM of 9933 and 9939 = LCM of 9939 and 9933

Related Least Common Multiples of 9933

Related Least Common Multiples of 9939

Frequently Asked Questions on LCM of 9933 and 9939

1. What is the LCM of 9933 and 9939?

Answer: LCM of 9933 and 9939 is 32908029.

2. What are the Factors of 9933?

Answer: Factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933. There are 16 integers that are factors of 9933. The greatest factor of 9933 is 9933.

3. What are the Factors of 9939?

Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.

4. How to Find the LCM of 9933 and 9939?

Answer:

Least Common Multiple of 9933 and 9939 = 32908029

Step 1: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

Step 2: Find the prime factorization of 9939

9939 = 3 x 3313

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

LCM = 32908029 = 3 x 7 x 11 x 43 x 3313

Step 4: Therefore, the least common multiple of 9933 and 9939 is 32908029.