Least Common Multiple of 3971 and 3972

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 3972 the smallest integer that is 15772812 that is divisible by both numbers.

Least Common Multiple (LCM) of 3971 and 3972 is 15772812.

LCM(3971,3972) = 15772812

LCM of 3971 and 3972

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

LCM of:
and

Least Common Multiple of 3971 and 3972

LCM of 3971 and 3972 is 15772812

Least common multiple can be found by multiplying the highest exponent prime factors of 3971 and 3972. First we will calculate the prime factors of 3971 and 3972.

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 3972


2 3972
2 1986
3 993
331 331
1

Prime factors of 3972 are 2, 3,331. Prime factorization of 3972 in exponential form is:

3972 = 22×31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 3971 and 3972.

LCM(3971,3972) = 22×31×111×192×3311
LCM(3971,3972) = 15772812

Factors of 3971

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

1, 11, 19, 209, 361, 3971

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972

Least Common Multiple of 3971 and 3972 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 3972, than apply into the LCM equation.

GCF(3971,3972) = 1
LCM(3971,3972) = ( 3971 × 3972) / 1
LCM(3971,3972) = 15772812 / 1
LCM(3971,3972) = 15772812

Properties of LCM 3971 and 3972

(i) The LCM of 3972 and 3971 is associative

LCM of 3971 and 3972 = LCM of 3972 and 3971

Related Least Common Multiples of 3971

Related Least Common Multiples of 3972

Frequently Asked Questions on LCM of 3971 and 3972

1. What is the LCM of 3971 and 3972?

Answer: LCM of 3971 and 3972 is 15772812.

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 3972?

Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.

4. How to Find the LCM of 3971 and 3972?

Answer:

Least Common Multiple of 3971 and 3972 = 15772812

Step 1: Find the prime factorization of 3971

3971 = 11 x 19 x 19

Step 2: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

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

LCM = 15772812 = 2 x 2 x 3 x 11 x 19 x 19 x 331

Step 4: Therefore, the least common multiple of 3971 and 3972 is 15772812.