Least Common Multiple of 3934 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 3934 and 3939 the smallest integer that is 15496026 that is divisible by both numbers.

Least Common Multiple (LCM) of 3934 and 3939 is 15496026.

LCM(3934,3939) = 15496026

LCM of 3934 and 3939

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

LCM of:
and

Least Common Multiple of 3934 and 3939

LCM of 3934 and 3939 is 15496026

Least common multiple can be found by multiplying the highest exponent prime factors of 3934 and 3939. First we will calculate the prime factors of 3934 and 3939.

Prime Factorization of 3934


2 3934
7 1967
281 281
1

Prime factors of 3934 are 2, 7,281. Prime factorization of 3934 in exponential form is:

3934 = 21×71×2811

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 3934 and 3939.

LCM(3934,3939) = 21×31×71×131×1011×2811
LCM(3934,3939) = 15496026

Factors of 3934

List of positive integer factors of 3934 that divides 3934 without a remainder.

1, 2, 7, 14, 281, 562, 1967, 3934

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 3934 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 3934 and 3939, than apply into the LCM equation.

GCF(3934,3939) = 1
LCM(3934,3939) = ( 3934 × 3939) / 1
LCM(3934,3939) = 15496026 / 1
LCM(3934,3939) = 15496026

Properties of LCM 3934 and 3939

(i) The LCM of 3939 and 3934 is associative

LCM of 3934 and 3939 = LCM of 3939 and 3934

Related Least Common Multiples of 3934

Related Least Common Multiples of 3939

Frequently Asked Questions on LCM of 3934 and 3939

1. What is the LCM of 3934 and 3939?

Answer: LCM of 3934 and 3939 is 15496026.

2. What are the Factors of 3934?

Answer: Factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934. There are 8 integers that are factors of 3934. The greatest factor of 3934 is 3934.

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 3934 and 3939?

Answer:

Least Common Multiple of 3934 and 3939 = 15496026

Step 1: Find the prime factorization of 3934

3934 = 2 x 7 x 281

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 = 15496026 = 2 x 3 x 7 x 13 x 101 x 281

Step 4: Therefore, the least common multiple of 3934 and 3939 is 15496026.