Least Common Multiple of 3931 and 3936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3931 and 3936 the smallest integer that is 15472416 that is divisible by both numbers.

Least Common Multiple (LCM) of 3931 and 3936 is 15472416.

LCM(3931,3936) = 15472416

LCM of 3931 and 3936

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

LCM of:
and

Least Common Multiple of 3931 and 3936

LCM of 3931 and 3936 is 15472416

Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3936. First we will calculate the prime factors of 3931 and 3936.

Prime Factorization of 3931


3931 3931
1

Prime factors of 3931 are 3931. Prime factorization of 3931 in exponential form is:

3931 = 39311

Prime Factorization of 3936


2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 3936 are 2, 3,41. Prime factorization of 3936 in exponential form is:

3936 = 25×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3936.

LCM(3931,3936) = 25×31×411×39311
LCM(3931,3936) = 15472416

Factors of 3931

List of positive integer factors of 3931 that divides 3931 without a remainder.

1, 3931

Factors of 3936

List of positive integer factors of 3936 that divides 3936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936

Least Common Multiple of 3931 and 3936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3931 and 3936, than apply into the LCM equation.

GCF(3931,3936) = 1
LCM(3931,3936) = ( 3931 × 3936) / 1
LCM(3931,3936) = 15472416 / 1
LCM(3931,3936) = 15472416

Properties of LCM 3931 and 3936

(i) The LCM of 3936 and 3931 is associative

LCM of 3931 and 3936 = LCM of 3936 and 3931

Related Least Common Multiples of 3931

Related Least Common Multiples of 3936

Frequently Asked Questions on LCM of 3931 and 3936

1. What is the LCM of 3931 and 3936?

Answer: LCM of 3931 and 3936 is 15472416.

2. What are the Factors of 3931?

Answer: Factors of 3931 are 1, 3931. There are 2 integers that are factors of 3931. The greatest factor of 3931 is 3931.

3. What are the Factors of 3936?

Answer: Factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936. There are 24 integers that are factors of 3936. The greatest factor of 3936 is 3936.

4. How to Find the LCM of 3931 and 3936?

Answer:

Least Common Multiple of 3931 and 3936 = 15472416

Step 1: Find the prime factorization of 3931

3931 = 3931

Step 2: Find the prime factorization of 3936

3936 = 2 x 2 x 2 x 2 x 2 x 3 x 41

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

LCM = 15472416 = 2 x 2 x 2 x 2 x 2 x 3 x 41 x 3931

Step 4: Therefore, the least common multiple of 3931 and 3936 is 15472416.