Least Common Multiple of 3932 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 3932 and 3939 the smallest integer that is 15488148 that is divisible by both numbers.

Least Common Multiple (LCM) of 3932 and 3939 is 15488148.

LCM(3932,3939) = 15488148

LCM of 3932 and 3939

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

LCM of:
and

Least Common Multiple of 3932 and 3939

LCM of 3932 and 3939 is 15488148

Least common multiple can be found by multiplying the highest exponent prime factors of 3932 and 3939. First we will calculate the prime factors of 3932 and 3939.

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

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 3932 and 3939.

LCM(3932,3939) = 22×31×131×1011×9831
LCM(3932,3939) = 15488148

Factors of 3932

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

1, 2, 4, 983, 1966, 3932

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 3932 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 3932 and 3939, than apply into the LCM equation.

GCF(3932,3939) = 1
LCM(3932,3939) = ( 3932 × 3939) / 1
LCM(3932,3939) = 15488148 / 1
LCM(3932,3939) = 15488148

Properties of LCM 3932 and 3939

(i) The LCM of 3939 and 3932 is associative

LCM of 3932 and 3939 = LCM of 3939 and 3932

Related Least Common Multiples of 3932

Related Least Common Multiples of 3939

Frequently Asked Questions on LCM of 3932 and 3939

1. What is the LCM of 3932 and 3939?

Answer: LCM of 3932 and 3939 is 15488148.

2. 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.

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 3932 and 3939?

Answer:

Least Common Multiple of 3932 and 3939 = 15488148

Step 1: Find the prime factorization of 3932

3932 = 2 x 2 x 983

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 = 15488148 = 2 x 2 x 3 x 13 x 101 x 983

Step 4: Therefore, the least common multiple of 3932 and 3939 is 15488148.