Least Common Multiple of 3925 and 3931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3925 and 3931 the smallest integer that is 15429175 that is divisible by both numbers.

Least Common Multiple (LCM) of 3925 and 3931 is 15429175.

LCM(3925,3931) = 15429175

LCM of 3925 and 3931

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

LCM of:
and

Least Common Multiple of 3925 and 3931

LCM of 3925 and 3931 is 15429175

Least common multiple can be found by multiplying the highest exponent prime factors of 3925 and 3931. First we will calculate the prime factors of 3925 and 3931.

Prime Factorization of 3925


5 3925
5 785
157 157
1

Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:

3925 = 52×1571

Prime Factorization of 3931


3931 3931
1

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

3931 = 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 3925 and 3931.

LCM(3925,3931) = 52×1571×39311
LCM(3925,3931) = 15429175

Factors of 3925

List of positive integer factors of 3925 that divides 3925 without a remainder.

1, 5, 25, 157, 785, 3925

Factors of 3931

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

1, 3931

Least Common Multiple of 3925 and 3931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3925 and 3931, than apply into the LCM equation.

GCF(3925,3931) = 1
LCM(3925,3931) = ( 3925 × 3931) / 1
LCM(3925,3931) = 15429175 / 1
LCM(3925,3931) = 15429175

Properties of LCM 3925 and 3931

(i) The LCM of 3931 and 3925 is associative

LCM of 3925 and 3931 = LCM of 3931 and 3925

Frequently Asked Questions on LCM of 3925 and 3931

1. What is the LCM of 3925 and 3931?

Answer: LCM of 3925 and 3931 is 15429175.

2. What are the Factors of 3925?

Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.

3. 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.

4. How to Find the LCM of 3925 and 3931?

Answer:

Least Common Multiple of 3925 and 3931 = 15429175

Step 1: Find the prime factorization of 3925

3925 = 5 x 5 x 157

Step 2: Find the prime factorization of 3931

3931 = 3931

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

LCM = 15429175 = 5 x 5 x 157 x 3931

Step 4: Therefore, the least common multiple of 3925 and 3931 is 15429175.