Least Common Multiple of 9946 and 9953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9946 and 9953 the smallest integer that is 98992538 that is divisible by both numbers.

Least Common Multiple (LCM) of 9946 and 9953 is 98992538.

LCM(9946,9953) = 98992538

LCM of 9946 and 9953

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

LCM of:
and

Least Common Multiple of 9946 and 9953

LCM of 9946 and 9953 is 98992538

Least common multiple can be found by multiplying the highest exponent prime factors of 9946 and 9953. First we will calculate the prime factors of 9946 and 9953.

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

Prime Factorization of 9953


37 9953
269 269
1

Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:

9953 = 371×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 9946 and 9953.

LCM(9946,9953) = 21×371×2691×49731
LCM(9946,9953) = 98992538

Factors of 9946

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

1, 2, 4973, 9946

Factors of 9953

List of positive integer factors of 9953 that divides 9953 without a remainder.

1, 37, 269, 9953

Least Common Multiple of 9946 and 9953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9946 and 9953, than apply into the LCM equation.

GCF(9946,9953) = 1
LCM(9946,9953) = ( 9946 × 9953) / 1
LCM(9946,9953) = 98992538 / 1
LCM(9946,9953) = 98992538

Properties of LCM 9946 and 9953

(i) The LCM of 9953 and 9946 is associative

LCM of 9946 and 9953 = LCM of 9953 and 9946

Related Least Common Multiples of 9946

Related Least Common Multiples of 9953

Frequently Asked Questions on LCM of 9946 and 9953

1. What is the LCM of 9946 and 9953?

Answer: LCM of 9946 and 9953 is 98992538.

2. 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.

3. What are the Factors of 9953?

Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.

4. How to Find the LCM of 9946 and 9953?

Answer:

Least Common Multiple of 9946 and 9953 = 98992538

Step 1: Find the prime factorization of 9946

9946 = 2 x 4973

Step 2: Find the prime factorization of 9953

9953 = 37 x 269

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

LCM = 98992538 = 2 x 37 x 269 x 4973

Step 4: Therefore, the least common multiple of 9946 and 9953 is 98992538.