Least Common Multiple of 3931 and 3932

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 3932 the smallest integer that is 15456692 that is divisible by both numbers.

Least Common Multiple (LCM) of 3931 and 3932 is 15456692.

LCM(3931,3932) = 15456692

LCM of 3931 and 3932

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

LCM of:
and

Least Common Multiple of 3931 and 3932

LCM of 3931 and 3932 is 15456692

Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3932. First we will calculate the prime factors of 3931 and 3932.

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 3932


2 3932
2 1966
983 983
1

Prime factors of 3932 are 2,983. Prime factorization of 3932 in exponential form is:

3932 = 22×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3932.

LCM(3931,3932) = 22×9831×39311
LCM(3931,3932) = 15456692

Factors of 3931

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

1, 3931

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1, 2, 4, 983, 1966, 3932

Least Common Multiple of 3931 and 3932 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 3932, than apply into the LCM equation.

GCF(3931,3932) = 1
LCM(3931,3932) = ( 3931 × 3932) / 1
LCM(3931,3932) = 15456692 / 1
LCM(3931,3932) = 15456692

Properties of LCM 3931 and 3932

(i) The LCM of 3932 and 3931 is associative

LCM of 3931 and 3932 = LCM of 3932 and 3931

Related Least Common Multiples of 3931

Related Least Common Multiples of 3932

Frequently Asked Questions on LCM of 3931 and 3932

1. What is the LCM of 3931 and 3932?

Answer: LCM of 3931 and 3932 is 15456692.

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 3932?

Answer: Factors of 3932 are 1, 2, 4, 983, 1966, 3932. There are 6 integers that are factors of 3932. The greatest factor of 3932 is 3932.

4. How to Find the LCM of 3931 and 3932?

Answer:

Least Common Multiple of 3931 and 3932 = 15456692

Step 1: Find the prime factorization of 3931

3931 = 3931

Step 2: Find the prime factorization of 3932

3932 = 2 x 2 x 983

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

LCM = 15456692 = 2 x 2 x 983 x 3931

Step 4: Therefore, the least common multiple of 3931 and 3932 is 15456692.