Least Common Multiple of 7981 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 7981 and 7986 the smallest integer that is 63736266 that is divisible by both numbers.

Least Common Multiple (LCM) of 7981 and 7986 is 63736266.

LCM(7981,7986) = 63736266

LCM of 7981 and 7986

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

LCM of:
and

Least Common Multiple of 7981 and 7986

LCM of 7981 and 7986 is 63736266

Least common multiple can be found by multiplying the highest exponent prime factors of 7981 and 7986. First we will calculate the prime factors of 7981 and 7986.

Prime Factorization of 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

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 7981 and 7986.

LCM(7981,7986) = 21×31×113×231×3471
LCM(7981,7986) = 63736266

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1, 23, 347, 7981

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 7981 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 7981 and 7986, than apply into the LCM equation.

GCF(7981,7986) = 1
LCM(7981,7986) = ( 7981 × 7986) / 1
LCM(7981,7986) = 63736266 / 1
LCM(7981,7986) = 63736266

Properties of LCM 7981 and 7986

(i) The LCM of 7986 and 7981 is associative

LCM of 7981 and 7986 = LCM of 7986 and 7981

Related Least Common Multiples of 7981

Related Least Common Multiples of 7986

Frequently Asked Questions on LCM of 7981 and 7986

1. What is the LCM of 7981 and 7986?

Answer: LCM of 7981 and 7986 is 63736266.

2. What are the Factors of 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

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 7981 and 7986?

Answer:

Least Common Multiple of 7981 and 7986 = 63736266

Step 1: Find the prime factorization of 7981

7981 = 23 x 347

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 = 63736266 = 2 x 3 x 11 x 11 x 11 x 23 x 347

Step 4: Therefore, the least common multiple of 7981 and 7986 is 63736266.