Least Common Multiple of 3981 and 3986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3981 and 3986 the smallest integer that is 15868266 that is divisible by both numbers.

Least Common Multiple (LCM) of 3981 and 3986 is 15868266.

LCM(3981,3986) = 15868266

LCM of 3981 and 3986

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

LCM of:
and

Least Common Multiple of 3981 and 3986

LCM of 3981 and 3986 is 15868266

Least common multiple can be found by multiplying the highest exponent prime factors of 3981 and 3986. First we will calculate the prime factors of 3981 and 3986.

Prime Factorization of 3981


3 3981
1327 1327
1

Prime factors of 3981 are 3,1327. Prime factorization of 3981 in exponential form is:

3981 = 31×13271

Prime Factorization of 3986


2 3986
1993 1993
1

Prime factors of 3986 are 2,1993. Prime factorization of 3986 in exponential form is:

3986 = 21×19931

Now multiplying the highest exponent prime factors to calculate the LCM of 3981 and 3986.

LCM(3981,3986) = 21×31×13271×19931
LCM(3981,3986) = 15868266

Factors of 3981

List of positive integer factors of 3981 that divides 3981 without a remainder.

1, 3, 1327, 3981

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1, 2, 1993, 3986

Least Common Multiple of 3981 and 3986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3981 and 3986, than apply into the LCM equation.

GCF(3981,3986) = 1
LCM(3981,3986) = ( 3981 × 3986) / 1
LCM(3981,3986) = 15868266 / 1
LCM(3981,3986) = 15868266

Properties of LCM 3981 and 3986

(i) The LCM of 3986 and 3981 is associative

LCM of 3981 and 3986 = LCM of 3986 and 3981

Related Least Common Multiples of 3981

Related Least Common Multiples of 3986

Frequently Asked Questions on LCM of 3981 and 3986

1. What is the LCM of 3981 and 3986?

Answer: LCM of 3981 and 3986 is 15868266.

2. What are the Factors of 3981?

Answer: Factors of 3981 are 1, 3, 1327, 3981. There are 4 integers that are factors of 3981. The greatest factor of 3981 is 3981.

3. What are the Factors of 3986?

Answer: Factors of 3986 are 1, 2, 1993, 3986. There are 4 integers that are factors of 3986. The greatest factor of 3986 is 3986.

4. How to Find the LCM of 3981 and 3986?

Answer:

Least Common Multiple of 3981 and 3986 = 15868266

Step 1: Find the prime factorization of 3981

3981 = 3 x 1327

Step 2: Find the prime factorization of 3986

3986 = 2 x 1993

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

LCM = 15868266 = 2 x 3 x 1327 x 1993

Step 4: Therefore, the least common multiple of 3981 and 3986 is 15868266.