Least Common Multiple of 7986 and 7994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7986 and 7994 the smallest integer that is 31920042 that is divisible by both numbers.

Least Common Multiple (LCM) of 7986 and 7994 is 31920042.

LCM(7986,7994) = 31920042

LCM of 7986 and 7994

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

LCM of:
and

Least Common Multiple of 7986 and 7994

LCM of 7986 and 7994 is 31920042

Least common multiple can be found by multiplying the highest exponent prime factors of 7986 and 7994. First we will calculate the prime factors of 7986 and 7994.

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

Prime Factorization of 7994


2 7994
7 3997
571 571
1

Prime factors of 7994 are 2, 7,571. Prime factorization of 7994 in exponential form is:

7994 = 21×71×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 7986 and 7994.

LCM(7986,7994) = 21×31×71×113×5711
LCM(7986,7994) = 31920042

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

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1, 2, 7, 14, 571, 1142, 3997, 7994

Least Common Multiple of 7986 and 7994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7986 and 7994, than apply into the LCM equation.

GCF(7986,7994) = 2
LCM(7986,7994) = ( 7986 × 7994) / 2
LCM(7986,7994) = 63840084 / 2
LCM(7986,7994) = 31920042

Properties of LCM 7986 and 7994

(i) The LCM of 7994 and 7986 is associative

LCM of 7986 and 7994 = LCM of 7994 and 7986

Related Least Common Multiples of 7986

Related Least Common Multiples of 7994

Frequently Asked Questions on LCM of 7986 and 7994

1. What is the LCM of 7986 and 7994?

Answer: LCM of 7986 and 7994 is 31920042.

2. 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.

3. What are the Factors of 7994?

Answer: Factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994. There are 8 integers that are factors of 7994. The greatest factor of 7994 is 7994.

4. How to Find the LCM of 7986 and 7994?

Answer:

Least Common Multiple of 7986 and 7994 = 31920042

Step 1: Find the prime factorization of 7986

7986 = 2 x 3 x 11 x 11 x 11

Step 2: Find the prime factorization of 7994

7994 = 2 x 7 x 571

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

LCM = 31920042 = 2 x 3 x 7 x 11 x 11 x 11 x 571

Step 4: Therefore, the least common multiple of 7986 and 7994 is 31920042.