Least Common Multiple of 3931 and 3939

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 3939 the smallest integer that is 15484209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3931 and 3939 is 15484209.

LCM(3931,3939) = 15484209

LCM of 3931 and 3939

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

LCM of:
and

Least Common Multiple of 3931 and 3939

LCM of 3931 and 3939 is 15484209

Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3939. First we will calculate the prime factors of 3931 and 3939.

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 3939


3 3939
13 1313
101 101
1

Prime factors of 3939 are 3, 13,101. Prime factorization of 3939 in exponential form is:

3939 = 31×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3939.

LCM(3931,3939) = 31×131×1011×39311
LCM(3931,3939) = 15484209

Factors of 3931

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

1, 3931

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1, 3, 13, 39, 101, 303, 1313, 3939

Least Common Multiple of 3931 and 3939 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 3939, than apply into the LCM equation.

GCF(3931,3939) = 1
LCM(3931,3939) = ( 3931 × 3939) / 1
LCM(3931,3939) = 15484209 / 1
LCM(3931,3939) = 15484209

Properties of LCM 3931 and 3939

(i) The LCM of 3939 and 3931 is associative

LCM of 3931 and 3939 = LCM of 3939 and 3931

Related Least Common Multiples of 3931

Related Least Common Multiples of 3939

Frequently Asked Questions on LCM of 3931 and 3939

1. What is the LCM of 3931 and 3939?

Answer: LCM of 3931 and 3939 is 15484209.

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 3939?

Answer: Factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939. There are 8 integers that are factors of 3939. The greatest factor of 3939 is 3939.

4. How to Find the LCM of 3931 and 3939?

Answer:

Least Common Multiple of 3931 and 3939 = 15484209

Step 1: Find the prime factorization of 3931

3931 = 3931

Step 2: Find the prime factorization of 3939

3939 = 3 x 13 x 101

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

LCM = 15484209 = 3 x 13 x 101 x 3931

Step 4: Therefore, the least common multiple of 3931 and 3939 is 15484209.