Least Common Multiple of 7982 and 7986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7982 and 7986 the smallest integer that is 31872126 that is divisible by both numbers.

Least Common Multiple (LCM) of 7982 and 7986 is 31872126.

LCM(7982,7986) = 31872126

LCM of 7982 and 7986

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

LCM of:
and

Least Common Multiple of 7982 and 7986

LCM of 7982 and 7986 is 31872126

Least common multiple can be found by multiplying the highest exponent prime factors of 7982 and 7986. First we will calculate the prime factors of 7982 and 7986.

Prime Factorization of 7982


2 7982
13 3991
307 307
1

Prime factors of 7982 are 2, 13,307. Prime factorization of 7982 in exponential form is:

7982 = 21×131×3071

Prime Factorization of 7986


2 7986
3 3993
11 1331
11 121
11 11
1

Prime factors of 7986 are 2, 3,11. Prime factorization of 7986 in exponential form is:

7986 = 21×31×113

Now multiplying the highest exponent prime factors to calculate the LCM of 7982 and 7986.

LCM(7982,7986) = 21×31×113×131×3071
LCM(7982,7986) = 31872126

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1, 2, 13, 26, 307, 614, 3991, 7982

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986

Least Common Multiple of 7982 and 7986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7982 and 7986, than apply into the LCM equation.

GCF(7982,7986) = 2
LCM(7982,7986) = ( 7982 × 7986) / 2
LCM(7982,7986) = 63744252 / 2
LCM(7982,7986) = 31872126

Properties of LCM 7982 and 7986

(i) The LCM of 7986 and 7982 is associative

LCM of 7982 and 7986 = LCM of 7986 and 7982

Related Least Common Multiples of 7982

Related Least Common Multiples of 7986

Frequently Asked Questions on LCM of 7982 and 7986

1. What is the LCM of 7982 and 7986?

Answer: LCM of 7982 and 7986 is 31872126.

2. What are the Factors of 7982?

Answer: Factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982. There are 8 integers that are factors of 7982. The greatest factor of 7982 is 7982.

3. What are the Factors of 7986?

Answer: Factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986. There are 16 integers that are factors of 7986. The greatest factor of 7986 is 7986.

4. How to Find the LCM of 7982 and 7986?

Answer:

Least Common Multiple of 7982 and 7986 = 31872126

Step 1: Find the prime factorization of 7982

7982 = 2 x 13 x 307

Step 2: Find the prime factorization of 7986

7986 = 2 x 3 x 11 x 11 x 11

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

LCM = 31872126 = 2 x 3 x 11 x 11 x 11 x 13 x 307

Step 4: Therefore, the least common multiple of 7982 and 7986 is 31872126.