Least Common Multiple of 9939 and 9946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9939 and 9946 the smallest integer that is 98853294 that is divisible by both numbers.

Least Common Multiple (LCM) of 9939 and 9946 is 98853294.

LCM(9939,9946) = 98853294

LCM of 9939 and 9946

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

LCM of:
and

Least Common Multiple of 9939 and 9946

LCM of 9939 and 9946 is 98853294

Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9946. First we will calculate the prime factors of 9939 and 9946.

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

Prime Factorization of 9946


2 9946
4973 4973
1

Prime factors of 9946 are 2,4973. Prime factorization of 9946 in exponential form is:

9946 = 21×49731

Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9946.

LCM(9939,9946) = 21×31×33131×49731
LCM(9939,9946) = 98853294

Factors of 9939

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

1, 3, 3313, 9939

Factors of 9946

List of positive integer factors of 9946 that divides 9946 without a remainder.

1, 2, 4973, 9946

Least Common Multiple of 9939 and 9946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9939 and 9946, than apply into the LCM equation.

GCF(9939,9946) = 1
LCM(9939,9946) = ( 9939 × 9946) / 1
LCM(9939,9946) = 98853294 / 1
LCM(9939,9946) = 98853294

Properties of LCM 9939 and 9946

(i) The LCM of 9946 and 9939 is associative

LCM of 9939 and 9946 = LCM of 9946 and 9939

Related Least Common Multiples of 9939

Related Least Common Multiples of 9946

Frequently Asked Questions on LCM of 9939 and 9946

1. What is the LCM of 9939 and 9946?

Answer: LCM of 9939 and 9946 is 98853294.

2. 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.

3. What are the Factors of 9946?

Answer: Factors of 9946 are 1, 2, 4973, 9946. There are 4 integers that are factors of 9946. The greatest factor of 9946 is 9946.

4. How to Find the LCM of 9939 and 9946?

Answer:

Least Common Multiple of 9939 and 9946 = 98853294

Step 1: Find the prime factorization of 9939

9939 = 3 x 3313

Step 2: Find the prime factorization of 9946

9946 = 2 x 4973

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

LCM = 98853294 = 2 x 3 x 3313 x 4973

Step 4: Therefore, the least common multiple of 9939 and 9946 is 98853294.