Least Common Multiple of 9946 and 9951

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 9951 the smallest integer that is 98972646 that is divisible by both numbers.

Least Common Multiple (LCM) of 9946 and 9951 is 98972646.

LCM(9946,9951) = 98972646

LCM of 9946 and 9951

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

LCM of:
and

Least Common Multiple of 9946 and 9951

LCM of 9946 and 9951 is 98972646

Least common multiple can be found by multiplying the highest exponent prime factors of 9946 and 9951. First we will calculate the prime factors of 9946 and 9951.

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 9951


3 9951
31 3317
107 107
1

Prime factors of 9951 are 3, 31,107. Prime factorization of 9951 in exponential form is:

9951 = 31×311×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9946 and 9951.

LCM(9946,9951) = 21×31×311×1071×49731
LCM(9946,9951) = 98972646

Factors of 9946

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

1, 2, 4973, 9946

Factors of 9951

List of positive integer factors of 9951 that divides 9951 without a remainder.

1, 3, 31, 93, 107, 321, 3317, 9951

Least Common Multiple of 9946 and 9951 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 9951, than apply into the LCM equation.

GCF(9946,9951) = 1
LCM(9946,9951) = ( 9946 × 9951) / 1
LCM(9946,9951) = 98972646 / 1
LCM(9946,9951) = 98972646

Properties of LCM 9946 and 9951

(i) The LCM of 9951 and 9946 is associative

LCM of 9946 and 9951 = LCM of 9951 and 9946

Related Least Common Multiples of 9946

Related Least Common Multiples of 9951

Frequently Asked Questions on LCM of 9946 and 9951

1. What is the LCM of 9946 and 9951?

Answer: LCM of 9946 and 9951 is 98972646.

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 9951?

Answer: Factors of 9951 are 1, 3, 31, 93, 107, 321, 3317, 9951. There are 8 integers that are factors of 9951. The greatest factor of 9951 is 9951.

4. How to Find the LCM of 9946 and 9951?

Answer:

Least Common Multiple of 9946 and 9951 = 98972646

Step 1: Find the prime factorization of 9946

9946 = 2 x 4973

Step 2: Find the prime factorization of 9951

9951 = 3 x 31 x 107

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

LCM = 98972646 = 2 x 3 x 31 x 107 x 4973

Step 4: Therefore, the least common multiple of 9946 and 9951 is 98972646.