Least Common Multiple of 3926 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 3926 and 3931 the smallest integer that is 15433106 that is divisible by both numbers.

Least Common Multiple (LCM) of 3926 and 3931 is 15433106.

LCM(3926,3931) = 15433106

LCM of 3926 and 3931

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

LCM of:
and

Least Common Multiple of 3926 and 3931

LCM of 3926 and 3931 is 15433106

Least common multiple can be found by multiplying the highest exponent prime factors of 3926 and 3931. First we will calculate the prime factors of 3926 and 3931.

Prime Factorization of 3926


2 3926
13 1963
151 151
1

Prime factors of 3926 are 2, 13,151. Prime factorization of 3926 in exponential form is:

3926 = 21×131×1511

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 3926 and 3931.

LCM(3926,3931) = 21×131×1511×39311
LCM(3926,3931) = 15433106

Factors of 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1, 2, 13, 26, 151, 302, 1963, 3926

Factors of 3931

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

1, 3931

Least Common Multiple of 3926 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 3926 and 3931, than apply into the LCM equation.

GCF(3926,3931) = 1
LCM(3926,3931) = ( 3926 × 3931) / 1
LCM(3926,3931) = 15433106 / 1
LCM(3926,3931) = 15433106

Properties of LCM 3926 and 3931

(i) The LCM of 3931 and 3926 is associative

LCM of 3926 and 3931 = LCM of 3931 and 3926

Related Least Common Multiples of 3926

Related Least Common Multiples of 3931

Frequently Asked Questions on LCM of 3926 and 3931

1. What is the LCM of 3926 and 3931?

Answer: LCM of 3926 and 3931 is 15433106.

2. What are the Factors of 3926?

Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.

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 3926 and 3931?

Answer:

Least Common Multiple of 3926 and 3931 = 15433106

Step 1: Find the prime factorization of 3926

3926 = 2 x 13 x 151

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 = 15433106 = 2 x 13 x 151 x 3931

Step 4: Therefore, the least common multiple of 3926 and 3931 is 15433106.