Least Common Multiple of 3971 and 3974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3971 and 3974 the smallest integer that is 15780754 that is divisible by both numbers.

Least Common Multiple (LCM) of 3971 and 3974 is 15780754.

LCM(3971,3974) = 15780754

LCM of 3971 and 3974

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

LCM of:
and

Least Common Multiple of 3971 and 3974

LCM of 3971 and 3974 is 15780754

Least common multiple can be found by multiplying the highest exponent prime factors of 3971 and 3974. First we will calculate the prime factors of 3971 and 3974.

Prime Factorization of 3971


11 3971
19 361
19 19
1

Prime factors of 3971 are 11,19. Prime factorization of 3971 in exponential form is:

3971 = 111×192

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3971 and 3974.

LCM(3971,3974) = 21×111×192×19871
LCM(3971,3974) = 15780754

Factors of 3971

List of positive integer factors of 3971 that divides 3971 without a remainder.

1, 11, 19, 209, 361, 3971

Factors of 3974

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

1, 2, 1987, 3974

Least Common Multiple of 3971 and 3974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3971 and 3974, than apply into the LCM equation.

GCF(3971,3974) = 1
LCM(3971,3974) = ( 3971 × 3974) / 1
LCM(3971,3974) = 15780754 / 1
LCM(3971,3974) = 15780754

Properties of LCM 3971 and 3974

(i) The LCM of 3974 and 3971 is associative

LCM of 3971 and 3974 = LCM of 3974 and 3971

Related Least Common Multiples of 3971

Related Least Common Multiples of 3974

Frequently Asked Questions on LCM of 3971 and 3974

1. What is the LCM of 3971 and 3974?

Answer: LCM of 3971 and 3974 is 15780754.

2. What are the Factors of 3971?

Answer: Factors of 3971 are 1, 11, 19, 209, 361, 3971. There are 6 integers that are factors of 3971. The greatest factor of 3971 is 3971.

3. 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.

4. How to Find the LCM of 3971 and 3974?

Answer:

Least Common Multiple of 3971 and 3974 = 15780754

Step 1: Find the prime factorization of 3971

3971 = 11 x 19 x 19

Step 2: Find the prime factorization of 3974

3974 = 2 x 1987

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

LCM = 15780754 = 2 x 11 x 19 x 19 x 1987

Step 4: Therefore, the least common multiple of 3971 and 3974 is 15780754.