Least Common Multiple of 9933 and 9940

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 9940 the smallest integer that is 14104860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9933 and 9940 is 14104860.

LCM(9933,9940) = 14104860

LCM of 9933 and 9940

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

LCM of:
and

Least Common Multiple of 9933 and 9940

LCM of 9933 and 9940 is 14104860

Least common multiple can be found by multiplying the highest exponent prime factors of 9933 and 9940. First we will calculate the prime factors of 9933 and 9940.

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 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2, 5, 7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9933 and 9940.

LCM(9933,9940) = 22×31×51×71×111×431×711
LCM(9933,9940) = 14104860

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 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940

Least Common Multiple of 9933 and 9940 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 9940, than apply into the LCM equation.

GCF(9933,9940) = 7
LCM(9933,9940) = ( 9933 × 9940) / 7
LCM(9933,9940) = 98734020 / 7
LCM(9933,9940) = 14104860

Properties of LCM 9933 and 9940

(i) The LCM of 9940 and 9933 is associative

LCM of 9933 and 9940 = LCM of 9940 and 9933

Related Least Common Multiples of 9933

Related Least Common Multiples of 9940

Frequently Asked Questions on LCM of 9933 and 9940

1. What is the LCM of 9933 and 9940?

Answer: LCM of 9933 and 9940 is 14104860.

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 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

4. How to Find the LCM of 9933 and 9940?

Answer:

Least Common Multiple of 9933 and 9940 = 14104860

Step 1: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

Step 2: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

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

LCM = 14104860 = 2 x 2 x 3 x 5 x 7 x 11 x 43 x 71

Step 4: Therefore, the least common multiple of 9933 and 9940 is 14104860.