Least Common Multiple of 3938 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 3938 and 3944 the smallest integer that is 7765736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3938 and 3944 is 7765736.

LCM(3938,3944) = 7765736

LCM of 3938 and 3944

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

LCM of:
and

Least Common Multiple of 3938 and 3944

LCM of 3938 and 3944 is 7765736

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3944. First we will calculate the prime factors of 3938 and 3944.

Prime Factorization of 3938


2 3938
11 1969
179 179
1

Prime factors of 3938 are 2, 11,179. Prime factorization of 3938 in exponential form is:

3938 = 21×111×1791

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 3938 and 3944.

LCM(3938,3944) = 23×111×171×291×1791
LCM(3938,3944) = 7765736

Factors of 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1, 2, 11, 22, 179, 358, 1969, 3938

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 3938 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 3938 and 3944, than apply into the LCM equation.

GCF(3938,3944) = 2
LCM(3938,3944) = ( 3938 × 3944) / 2
LCM(3938,3944) = 15531472 / 2
LCM(3938,3944) = 7765736

Properties of LCM 3938 and 3944

(i) The LCM of 3944 and 3938 is associative

LCM of 3938 and 3944 = LCM of 3944 and 3938

Related Least Common Multiples of 3938

Related Least Common Multiples of 3944

Frequently Asked Questions on LCM of 3938 and 3944

1. What is the LCM of 3938 and 3944?

Answer: LCM of 3938 and 3944 is 7765736.

2. What are the Factors of 3938?

Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.

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 3938 and 3944?

Answer:

Least Common Multiple of 3938 and 3944 = 7765736

Step 1: Find the prime factorization of 3938

3938 = 2 x 11 x 179

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 = 7765736 = 2 x 2 x 2 x 11 x 17 x 29 x 179

Step 4: Therefore, the least common multiple of 3938 and 3944 is 7765736.