Least Common Multiple of 9940 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 9940 and 9946 the smallest integer that is 49431620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9940 and 9946 is 49431620.

LCM(9940,9946) = 49431620

LCM of 9940 and 9946

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

LCM of:
and

Least Common Multiple of 9940 and 9946

LCM of 9940 and 9946 is 49431620

Least common multiple can be found by multiplying the highest exponent prime factors of 9940 and 9946. First we will calculate the prime factors of 9940 and 9946.

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2, 5, 7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

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 9940 and 9946.

LCM(9940,9946) = 22×51×71×711×49731
LCM(9940,9946) = 49431620

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940

Factors of 9946

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

1, 2, 4973, 9946

Least Common Multiple of 9940 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 9940 and 9946, than apply into the LCM equation.

GCF(9940,9946) = 2
LCM(9940,9946) = ( 9940 × 9946) / 2
LCM(9940,9946) = 98863240 / 2
LCM(9940,9946) = 49431620

Properties of LCM 9940 and 9946

(i) The LCM of 9946 and 9940 is associative

LCM of 9940 and 9946 = LCM of 9946 and 9940

Related Least Common Multiples of 9940

Related Least Common Multiples of 9946

Frequently Asked Questions on LCM of 9940 and 9946

1. What is the LCM of 9940 and 9946?

Answer: LCM of 9940 and 9946 is 49431620.

2. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

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 9940 and 9946?

Answer:

Least Common Multiple of 9940 and 9946 = 49431620

Step 1: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

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 = 49431620 = 2 x 2 x 5 x 7 x 71 x 4973

Step 4: Therefore, the least common multiple of 9940 and 9946 is 49431620.