Least Common Multiple of 3981 and 3987

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 3987 the smallest integer that is 5290749 that is divisible by both numbers.

Least Common Multiple (LCM) of 3981 and 3987 is 5290749.

LCM(3981,3987) = 5290749

LCM of 3981 and 3987

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

LCM of:
and

Least Common Multiple of 3981 and 3987

LCM of 3981 and 3987 is 5290749

Least common multiple can be found by multiplying the highest exponent prime factors of 3981 and 3987. First we will calculate the prime factors of 3981 and 3987.

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 3987


3 3987
3 1329
443 443
1

Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:

3987 = 32×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 3981 and 3987.

LCM(3981,3987) = 32×4431×13271
LCM(3981,3987) = 5290749

Factors of 3981

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

1, 3, 1327, 3981

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1, 3, 9, 443, 1329, 3987

Least Common Multiple of 3981 and 3987 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 3987, than apply into the LCM equation.

GCF(3981,3987) = 3
LCM(3981,3987) = ( 3981 × 3987) / 3
LCM(3981,3987) = 15872247 / 3
LCM(3981,3987) = 5290749

Properties of LCM 3981 and 3987

(i) The LCM of 3987 and 3981 is associative

LCM of 3981 and 3987 = LCM of 3987 and 3981

Related Least Common Multiples of 3981

Related Least Common Multiples of 3987

Frequently Asked Questions on LCM of 3981 and 3987

1. What is the LCM of 3981 and 3987?

Answer: LCM of 3981 and 3987 is 5290749.

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 3987?

Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.

4. How to Find the LCM of 3981 and 3987?

Answer:

Least Common Multiple of 3981 and 3987 = 5290749

Step 1: Find the prime factorization of 3981

3981 = 3 x 1327

Step 2: Find the prime factorization of 3987

3987 = 3 x 3 x 443

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

LCM = 5290749 = 3 x 3 x 443 x 1327

Step 4: Therefore, the least common multiple of 3981 and 3987 is 5290749.