Least Common Multiple of 3931 and 3937

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 3937 the smallest integer that is 15476347 that is divisible by both numbers.

Least Common Multiple (LCM) of 3931 and 3937 is 15476347.

LCM(3931,3937) = 15476347

LCM of 3931 and 3937

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

LCM of:
and

Least Common Multiple of 3931 and 3937

LCM of 3931 and 3937 is 15476347

Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3937. First we will calculate the prime factors of 3931 and 3937.

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 3937


31 3937
127 127
1

Prime factors of 3937 are 31,127. Prime factorization of 3937 in exponential form is:

3937 = 311×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3937.

LCM(3931,3937) = 311×1271×39311
LCM(3931,3937) = 15476347

Factors of 3931

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

1, 3931

Factors of 3937

List of positive integer factors of 3937 that divides 3937 without a remainder.

1, 31, 127, 3937

Least Common Multiple of 3931 and 3937 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 3937, than apply into the LCM equation.

GCF(3931,3937) = 1
LCM(3931,3937) = ( 3931 × 3937) / 1
LCM(3931,3937) = 15476347 / 1
LCM(3931,3937) = 15476347

Properties of LCM 3931 and 3937

(i) The LCM of 3937 and 3931 is associative

LCM of 3931 and 3937 = LCM of 3937 and 3931

Related Least Common Multiples of 3931

Related Least Common Multiples of 3937

Frequently Asked Questions on LCM of 3931 and 3937

1. What is the LCM of 3931 and 3937?

Answer: LCM of 3931 and 3937 is 15476347.

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 3937?

Answer: Factors of 3937 are 1, 31, 127, 3937. There are 4 integers that are factors of 3937. The greatest factor of 3937 is 3937.

4. How to Find the LCM of 3931 and 3937?

Answer:

Least Common Multiple of 3931 and 3937 = 15476347

Step 1: Find the prime factorization of 3931

3931 = 3931

Step 2: Find the prime factorization of 3937

3937 = 31 x 127

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

LCM = 15476347 = 31 x 127 x 3931

Step 4: Therefore, the least common multiple of 3931 and 3937 is 15476347.