Least Common Multiple of 3966 and 3971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3966 and 3971 the smallest integer that is 15748986 that is divisible by both numbers.

Least Common Multiple (LCM) of 3966 and 3971 is 15748986.

LCM(3966,3971) = 15748986

LCM of 3966 and 3971

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

LCM of:
and

Least Common Multiple of 3966 and 3971

LCM of 3966 and 3971 is 15748986

Least common multiple can be found by multiplying the highest exponent prime factors of 3966 and 3971. First we will calculate the prime factors of 3966 and 3971.

Prime Factorization of 3966


2 3966
3 1983
661 661
1

Prime factors of 3966 are 2, 3,661. Prime factorization of 3966 in exponential form is:

3966 = 21×31×6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3966 and 3971.

LCM(3966,3971) = 21×31×111×192×6611
LCM(3966,3971) = 15748986

Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1, 2, 3, 6, 661, 1322, 1983, 3966

Factors of 3971

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

1, 11, 19, 209, 361, 3971

Least Common Multiple of 3966 and 3971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3966 and 3971, than apply into the LCM equation.

GCF(3966,3971) = 1
LCM(3966,3971) = ( 3966 × 3971) / 1
LCM(3966,3971) = 15748986 / 1
LCM(3966,3971) = 15748986

Properties of LCM 3966 and 3971

(i) The LCM of 3971 and 3966 is associative

LCM of 3966 and 3971 = LCM of 3971 and 3966

Related Least Common Multiples of 3966

Related Least Common Multiples of 3971

Frequently Asked Questions on LCM of 3966 and 3971

1. What is the LCM of 3966 and 3971?

Answer: LCM of 3966 and 3971 is 15748986.

2. What are the Factors of 3966?

Answer: Factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966. There are 8 integers that are factors of 3966. The greatest factor of 3966 is 3966.

3. 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.

4. How to Find the LCM of 3966 and 3971?

Answer:

Least Common Multiple of 3966 and 3971 = 15748986

Step 1: Find the prime factorization of 3966

3966 = 2 x 3 x 661

Step 2: Find the prime factorization of 3971

3971 = 11 x 19 x 19

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

LCM = 15748986 = 2 x 3 x 11 x 19 x 19 x 661

Step 4: Therefore, the least common multiple of 3966 and 3971 is 15748986.