Least Common Multiple of 3971 and 3977

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 3977 the smallest integer that is 15792667 that is divisible by both numbers.

Least Common Multiple (LCM) of 3971 and 3977 is 15792667.

LCM(3971,3977) = 15792667

LCM of 3971 and 3977

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

LCM of:
and

Least Common Multiple of 3971 and 3977

LCM of 3971 and 3977 is 15792667

Least common multiple can be found by multiplying the highest exponent prime factors of 3971 and 3977. First we will calculate the prime factors of 3971 and 3977.

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 3977


41 3977
97 97
1

Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:

3977 = 411×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3971 and 3977.

LCM(3971,3977) = 111×192×411×971
LCM(3971,3977) = 15792667

Factors of 3971

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

1, 11, 19, 209, 361, 3971

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1, 41, 97, 3977

Least Common Multiple of 3971 and 3977 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 3977, than apply into the LCM equation.

GCF(3971,3977) = 1
LCM(3971,3977) = ( 3971 × 3977) / 1
LCM(3971,3977) = 15792667 / 1
LCM(3971,3977) = 15792667

Properties of LCM 3971 and 3977

(i) The LCM of 3977 and 3971 is associative

LCM of 3971 and 3977 = LCM of 3977 and 3971

Frequently Asked Questions on LCM of 3971 and 3977

1. What is the LCM of 3971 and 3977?

Answer: LCM of 3971 and 3977 is 15792667.

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 3977?

Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.

4. How to Find the LCM of 3971 and 3977?

Answer:

Least Common Multiple of 3971 and 3977 = 15792667

Step 1: Find the prime factorization of 3971

3971 = 11 x 19 x 19

Step 2: Find the prime factorization of 3977

3977 = 41 x 97

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

LCM = 15792667 = 11 x 19 x 19 x 41 x 97

Step 4: Therefore, the least common multiple of 3971 and 3977 is 15792667.