Least Common Multiple of 3974 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 3974 and 3981 the smallest integer that is 15820494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3974 and 3981 is 15820494.

LCM(3974,3981) = 15820494

LCM of 3974 and 3981

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

LCM of:
and

Least Common Multiple of 3974 and 3981

LCM of 3974 and 3981 is 15820494

Least common multiple can be found by multiplying the highest exponent prime factors of 3974 and 3981. First we will calculate the prime factors of 3974 and 3981.

Prime Factorization of 3974


2 3974
1987 1987
1

Prime factors of 3974 are 2,1987. Prime factorization of 3974 in exponential form is:

3974 = 21×19871

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 3974 and 3981.

LCM(3974,3981) = 21×31×13271×19871
LCM(3974,3981) = 15820494

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1, 2, 1987, 3974

Factors of 3981

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

1, 3, 1327, 3981

Least Common Multiple of 3974 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 3974 and 3981, than apply into the LCM equation.

GCF(3974,3981) = 1
LCM(3974,3981) = ( 3974 × 3981) / 1
LCM(3974,3981) = 15820494 / 1
LCM(3974,3981) = 15820494

Properties of LCM 3974 and 3981

(i) The LCM of 3981 and 3974 is associative

LCM of 3974 and 3981 = LCM of 3981 and 3974

Related Least Common Multiples of 3974

Related Least Common Multiples of 3981

Frequently Asked Questions on LCM of 3974 and 3981

1. What is the LCM of 3974 and 3981?

Answer: LCM of 3974 and 3981 is 15820494.

2. What are the Factors of 3974?

Answer: Factors of 3974 are 1, 2, 1987, 3974. There are 4 integers that are factors of 3974. The greatest factor of 3974 is 3974.

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 3974 and 3981?

Answer:

Least Common Multiple of 3974 and 3981 = 15820494

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

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 = 15820494 = 2 x 3 x 1327 x 1987

Step 4: Therefore, the least common multiple of 3974 and 3981 is 15820494.