Least Common Multiple of 7976 and 7982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7976 and 7982 the smallest integer that is 31832216 that is divisible by both numbers.

Least Common Multiple (LCM) of 7976 and 7982 is 31832216.

LCM(7976,7982) = 31832216

LCM of 7976 and 7982

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

LCM of:
and

Least Common Multiple of 7976 and 7982

LCM of 7976 and 7982 is 31832216

Least common multiple can be found by multiplying the highest exponent prime factors of 7976 and 7982. First we will calculate the prime factors of 7976 and 7982.

Prime Factorization of 7976


2 7976
2 3988
2 1994
997 997
1

Prime factors of 7976 are 2,997. Prime factorization of 7976 in exponential form is:

7976 = 23×9971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7976 and 7982.

LCM(7976,7982) = 23×131×3071×9971
LCM(7976,7982) = 31832216

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1, 2, 4, 8, 997, 1994, 3988, 7976

Factors of 7982

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

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

Least Common Multiple of 7976 and 7982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7976 and 7982, than apply into the LCM equation.

GCF(7976,7982) = 2
LCM(7976,7982) = ( 7976 × 7982) / 2
LCM(7976,7982) = 63664432 / 2
LCM(7976,7982) = 31832216

Properties of LCM 7976 and 7982

(i) The LCM of 7982 and 7976 is associative

LCM of 7976 and 7982 = LCM of 7982 and 7976

Related Least Common Multiples of 7976

Related Least Common Multiples of 7982

Frequently Asked Questions on LCM of 7976 and 7982

1. What is the LCM of 7976 and 7982?

Answer: LCM of 7976 and 7982 is 31832216.

2. What are the Factors of 7976?

Answer: Factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976. There are 8 integers that are factors of 7976. The greatest factor of 7976 is 7976.

3. 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.

4. How to Find the LCM of 7976 and 7982?

Answer:

Least Common Multiple of 7976 and 7982 = 31832216

Step 1: Find the prime factorization of 7976

7976 = 2 x 2 x 2 x 997

Step 2: Find the prime factorization of 7982

7982 = 2 x 13 x 307

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

LCM = 31832216 = 2 x 2 x 2 x 13 x 307 x 997

Step 4: Therefore, the least common multiple of 7976 and 7982 is 31832216.