Least Common Multiple of 9932 and 9933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9932 and 9933 the smallest integer that is 98654556 that is divisible by both numbers.

Least Common Multiple (LCM) of 9932 and 9933 is 98654556.

LCM(9932,9933) = 98654556

LCM of 9932 and 9933

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

LCM of:
and

Least Common Multiple of 9932 and 9933

LCM of 9932 and 9933 is 98654556

Least common multiple can be found by multiplying the highest exponent prime factors of 9932 and 9933. First we will calculate the prime factors of 9932 and 9933.

Prime Factorization of 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2, 13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9932 and 9933.

LCM(9932,9933) = 22×31×71×111×131×431×1911
LCM(9932,9933) = 98654556

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

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

Least Common Multiple of 9932 and 9933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9932 and 9933, than apply into the LCM equation.

GCF(9932,9933) = 1
LCM(9932,9933) = ( 9932 × 9933) / 1
LCM(9932,9933) = 98654556 / 1
LCM(9932,9933) = 98654556

Properties of LCM 9932 and 9933

(i) The LCM of 9933 and 9932 is associative

LCM of 9932 and 9933 = LCM of 9933 and 9932

Related Least Common Multiples of 9932

Related Least Common Multiples of 9933

Frequently Asked Questions on LCM of 9932 and 9933

1. What is the LCM of 9932 and 9933?

Answer: LCM of 9932 and 9933 is 98654556.

2. What are the Factors of 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

3. 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.

4. How to Find the LCM of 9932 and 9933?

Answer:

Least Common Multiple of 9932 and 9933 = 98654556

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

Step 2: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

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

LCM = 98654556 = 2 x 2 x 3 x 7 x 11 x 13 x 43 x 191

Step 4: Therefore, the least common multiple of 9932 and 9933 is 98654556.