Least Common Multiple of 3939 and 3944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3939 and 3944 the smallest integer that is 15535416 that is divisible by both numbers.

Least Common Multiple (LCM) of 3939 and 3944 is 15535416.

LCM(3939,3944) = 15535416

LCM of 3939 and 3944

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

LCM of:
and

Least Common Multiple of 3939 and 3944

LCM of 3939 and 3944 is 15535416

Least common multiple can be found by multiplying the highest exponent prime factors of 3939 and 3944. First we will calculate the prime factors of 3939 and 3944.

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

Prime Factorization of 3944


2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 3944 are 2, 17,29. Prime factorization of 3944 in exponential form is:

3944 = 23×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3939 and 3944.

LCM(3939,3944) = 23×31×131×171×291×1011
LCM(3939,3944) = 15535416

Factors of 3939

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

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

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944

Least Common Multiple of 3939 and 3944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3939 and 3944, than apply into the LCM equation.

GCF(3939,3944) = 1
LCM(3939,3944) = ( 3939 × 3944) / 1
LCM(3939,3944) = 15535416 / 1
LCM(3939,3944) = 15535416

Properties of LCM 3939 and 3944

(i) The LCM of 3944 and 3939 is associative

LCM of 3939 and 3944 = LCM of 3944 and 3939

Related Least Common Multiples of 3939

Related Least Common Multiples of 3944

Frequently Asked Questions on LCM of 3939 and 3944

1. What is the LCM of 3939 and 3944?

Answer: LCM of 3939 and 3944 is 15535416.

2. 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.

3. What are the Factors of 3944?

Answer: Factors of 3944 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944. There are 16 integers that are factors of 3944. The greatest factor of 3944 is 3944.

4. How to Find the LCM of 3939 and 3944?

Answer:

Least Common Multiple of 3939 and 3944 = 15535416

Step 1: Find the prime factorization of 3939

3939 = 3 x 13 x 101

Step 2: Find the prime factorization of 3944

3944 = 2 x 2 x 2 x 17 x 29

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

LCM = 15535416 = 2 x 2 x 2 x 3 x 13 x 17 x 29 x 101

Step 4: Therefore, the least common multiple of 3939 and 3944 is 15535416.