Least Common Multiple of 9932 and 9935

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 9935 the smallest integer that is 98674420 that is divisible by both numbers.

Least Common Multiple (LCM) of 9932 and 9935 is 98674420.

LCM(9932,9935) = 98674420

LCM of 9932 and 9935

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

LCM of:
and

Least Common Multiple of 9932 and 9935

LCM of 9932 and 9935 is 98674420

Least common multiple can be found by multiplying the highest exponent prime factors of 9932 and 9935. First we will calculate the prime factors of 9932 and 9935.

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 9935


5 9935
1987 1987
1

Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:

9935 = 51×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 9932 and 9935.

LCM(9932,9935) = 22×51×131×1911×19871
LCM(9932,9935) = 98674420

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 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1, 5, 1987, 9935

Least Common Multiple of 9932 and 9935 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 9935, than apply into the LCM equation.

GCF(9932,9935) = 1
LCM(9932,9935) = ( 9932 × 9935) / 1
LCM(9932,9935) = 98674420 / 1
LCM(9932,9935) = 98674420

Properties of LCM 9932 and 9935

(i) The LCM of 9935 and 9932 is associative

LCM of 9932 and 9935 = LCM of 9935 and 9932

Related Least Common Multiples of 9932

Related Least Common Multiples of 9935

Frequently Asked Questions on LCM of 9932 and 9935

1. What is the LCM of 9932 and 9935?

Answer: LCM of 9932 and 9935 is 98674420.

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 9935?

Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.

4. How to Find the LCM of 9932 and 9935?

Answer:

Least Common Multiple of 9932 and 9935 = 98674420

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

Step 2: Find the prime factorization of 9935

9935 = 5 x 1987

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

LCM = 98674420 = 2 x 2 x 5 x 13 x 191 x 1987

Step 4: Therefore, the least common multiple of 9932 and 9935 is 98674420.