Least Common Multiple of 3967 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 3967 and 3971 the smallest integer that is 15752957 that is divisible by both numbers.

Least Common Multiple (LCM) of 3967 and 3971 is 15752957.

LCM(3967,3971) = 15752957

LCM of 3967 and 3971

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

LCM of:
and

Least Common Multiple of 3967 and 3971

LCM of 3967 and 3971 is 15752957

Least common multiple can be found by multiplying the highest exponent prime factors of 3967 and 3971. First we will calculate the prime factors of 3967 and 3971.

Prime Factorization of 3967


3967 3967
1

Prime factors of 3967 are 3967. Prime factorization of 3967 in exponential form is:

3967 = 39671

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 3967 and 3971.

LCM(3967,3971) = 111×192×39671
LCM(3967,3971) = 15752957

Factors of 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1, 3967

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 3967 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 3967 and 3971, than apply into the LCM equation.

GCF(3967,3971) = 1
LCM(3967,3971) = ( 3967 × 3971) / 1
LCM(3967,3971) = 15752957 / 1
LCM(3967,3971) = 15752957

Properties of LCM 3967 and 3971

(i) The LCM of 3971 and 3967 is associative

LCM of 3967 and 3971 = LCM of 3971 and 3967

Related Least Common Multiples of 3967

Related Least Common Multiples of 3971

Frequently Asked Questions on LCM of 3967 and 3971

1. What is the LCM of 3967 and 3971?

Answer: LCM of 3967 and 3971 is 15752957.

2. What are the Factors of 3967?

Answer: Factors of 3967 are 1, 3967. There are 2 integers that are factors of 3967. The greatest factor of 3967 is 3967.

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 3967 and 3971?

Answer:

Least Common Multiple of 3967 and 3971 = 15752957

Step 1: Find the prime factorization of 3967

3967 = 3967

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 = 15752957 = 11 x 19 x 19 x 3967

Step 4: Therefore, the least common multiple of 3967 and 3971 is 15752957.