Least Common Multiple of 9932 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 9932 and 9939 the smallest integer that is 98714148 that is divisible by both numbers.

Least Common Multiple (LCM) of 9932 and 9939 is 98714148.

LCM(9932,9939) = 98714148

LCM of 9932 and 9939

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

LCM of:
and

Least Common Multiple of 9932 and 9939

LCM of 9932 and 9939 is 98714148

Least common multiple can be found by multiplying the highest exponent prime factors of 9932 and 9939. First we will calculate the prime factors of 9932 and 9939.

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 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 9932 and 9939.

LCM(9932,9939) = 22×31×131×1911×33131
LCM(9932,9939) = 98714148

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 9939

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

1, 3, 3313, 9939

Least Common Multiple of 9932 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 9932 and 9939, than apply into the LCM equation.

GCF(9932,9939) = 1
LCM(9932,9939) = ( 9932 × 9939) / 1
LCM(9932,9939) = 98714148 / 1
LCM(9932,9939) = 98714148

Properties of LCM 9932 and 9939

(i) The LCM of 9939 and 9932 is associative

LCM of 9932 and 9939 = LCM of 9939 and 9932

Related Least Common Multiples of 9932

Related Least Common Multiples of 9939

Frequently Asked Questions on LCM of 9932 and 9939

1. What is the LCM of 9932 and 9939?

Answer: LCM of 9932 and 9939 is 98714148.

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 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 9932 and 9939?

Answer:

Least Common Multiple of 9932 and 9939 = 98714148

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

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 = 98714148 = 2 x 2 x 3 x 13 x 191 x 3313

Step 4: Therefore, the least common multiple of 9932 and 9939 is 98714148.