Least Common Multiple of 3971 and 3978

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 3978 the smallest integer that is 15796638 that is divisible by both numbers.

Least Common Multiple (LCM) of 3971 and 3978 is 15796638.

LCM(3971,3978) = 15796638

LCM of 3971 and 3978

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

LCM of:
and

Least Common Multiple of 3971 and 3978

LCM of 3971 and 3978 is 15796638

Least common multiple can be found by multiplying the highest exponent prime factors of 3971 and 3978. First we will calculate the prime factors of 3971 and 3978.

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 3978


2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 3978 are 2, 3, 13,17. Prime factorization of 3978 in exponential form is:

3978 = 21×32×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3971 and 3978.

LCM(3971,3978) = 21×32×111×131×171×192
LCM(3971,3978) = 15796638

Factors of 3971

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

1, 11, 19, 209, 361, 3971

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

Least Common Multiple of 3971 and 3978 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 3978, than apply into the LCM equation.

GCF(3971,3978) = 1
LCM(3971,3978) = ( 3971 × 3978) / 1
LCM(3971,3978) = 15796638 / 1
LCM(3971,3978) = 15796638

Properties of LCM 3971 and 3978

(i) The LCM of 3978 and 3971 is associative

LCM of 3971 and 3978 = LCM of 3978 and 3971

Related Least Common Multiples of 3971

Related Least Common Multiples of 3978

Frequently Asked Questions on LCM of 3971 and 3978

1. What is the LCM of 3971 and 3978?

Answer: LCM of 3971 and 3978 is 15796638.

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 3978?

Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.

4. How to Find the LCM of 3971 and 3978?

Answer:

Least Common Multiple of 3971 and 3978 = 15796638

Step 1: Find the prime factorization of 3971

3971 = 11 x 19 x 19

Step 2: Find the prime factorization of 3978

3978 = 2 x 3 x 3 x 13 x 17

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

LCM = 15796638 = 2 x 3 x 3 x 11 x 13 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 3971 and 3978 is 15796638.