Least Common Multiple of 3976 and 3981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3976 and 3981 the smallest integer that is 15828456 that is divisible by both numbers.

Least Common Multiple (LCM) of 3976 and 3981 is 15828456.

LCM(3976,3981) = 15828456

LCM of 3976 and 3981

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

LCM of:
and

Least Common Multiple of 3976 and 3981

LCM of 3976 and 3981 is 15828456

Least common multiple can be found by multiplying the highest exponent prime factors of 3976 and 3981. First we will calculate the prime factors of 3976 and 3981.

Prime Factorization of 3976


2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 3976 are 2, 7,71. Prime factorization of 3976 in exponential form is:

3976 = 23×71×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3976 and 3981.

LCM(3976,3981) = 23×31×71×711×13271
LCM(3976,3981) = 15828456

Factors of 3976

List of positive integer factors of 3976 that divides 3976 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976

Factors of 3981

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

1, 3, 1327, 3981

Least Common Multiple of 3976 and 3981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3976 and 3981, than apply into the LCM equation.

GCF(3976,3981) = 1
LCM(3976,3981) = ( 3976 × 3981) / 1
LCM(3976,3981) = 15828456 / 1
LCM(3976,3981) = 15828456

Properties of LCM 3976 and 3981

(i) The LCM of 3981 and 3976 is associative

LCM of 3976 and 3981 = LCM of 3981 and 3976

Related Least Common Multiples of 3976

Related Least Common Multiples of 3981

Frequently Asked Questions on LCM of 3976 and 3981

1. What is the LCM of 3976 and 3981?

Answer: LCM of 3976 and 3981 is 15828456.

2. What are the Factors of 3976?

Answer: Factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976. There are 16 integers that are factors of 3976. The greatest factor of 3976 is 3976.

3. 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.

4. How to Find the LCM of 3976 and 3981?

Answer:

Least Common Multiple of 3976 and 3981 = 15828456

Step 1: Find the prime factorization of 3976

3976 = 2 x 2 x 2 x 7 x 71

Step 2: Find the prime factorization of 3981

3981 = 3 x 1327

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

LCM = 15828456 = 2 x 2 x 2 x 3 x 7 x 71 x 1327

Step 4: Therefore, the least common multiple of 3976 and 3981 is 15828456.