Least Common Multiple of 9934 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 9934 and 9935 the smallest integer that is 98694290 that is divisible by both numbers.

Least Common Multiple (LCM) of 9934 and 9935 is 98694290.

LCM(9934,9935) = 98694290

LCM of 9934 and 9935

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

LCM of:
and

Least Common Multiple of 9934 and 9935

LCM of 9934 and 9935 is 98694290

Least common multiple can be found by multiplying the highest exponent prime factors of 9934 and 9935. First we will calculate the prime factors of 9934 and 9935.

Prime Factorization of 9934


2 9934
4967 4967
1

Prime factors of 9934 are 2,4967. Prime factorization of 9934 in exponential form is:

9934 = 21×49671

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 9934 and 9935.

LCM(9934,9935) = 21×51×19871×49671
LCM(9934,9935) = 98694290

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1, 2, 4967, 9934

Factors of 9935

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

1, 5, 1987, 9935

Least Common Multiple of 9934 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 9934 and 9935, than apply into the LCM equation.

GCF(9934,9935) = 1
LCM(9934,9935) = ( 9934 × 9935) / 1
LCM(9934,9935) = 98694290 / 1
LCM(9934,9935) = 98694290

Properties of LCM 9934 and 9935

(i) The LCM of 9935 and 9934 is associative

LCM of 9934 and 9935 = LCM of 9935 and 9934

Related Least Common Multiples of 9934

Related Least Common Multiples of 9935

Frequently Asked Questions on LCM of 9934 and 9935

1. What is the LCM of 9934 and 9935?

Answer: LCM of 9934 and 9935 is 98694290.

2. What are the Factors of 9934?

Answer: Factors of 9934 are 1, 2, 4967, 9934. There are 4 integers that are factors of 9934. The greatest factor of 9934 is 9934.

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 9934 and 9935?

Answer:

Least Common Multiple of 9934 and 9935 = 98694290

Step 1: Find the prime factorization of 9934

9934 = 2 x 4967

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 = 98694290 = 2 x 5 x 1987 x 4967

Step 4: Therefore, the least common multiple of 9934 and 9935 is 98694290.