Least Common Multiple of 3944 and 3948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3944 and 3948 the smallest integer that is 3892728 that is divisible by both numbers.

Least Common Multiple (LCM) of 3944 and 3948 is 3892728.

LCM(3944,3948) = 3892728

LCM of 3944 and 3948

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

LCM of:
and

Least Common Multiple of 3944 and 3948

LCM of 3944 and 3948 is 3892728

Least common multiple can be found by multiplying the highest exponent prime factors of 3944 and 3948. First we will calculate the prime factors of 3944 and 3948.

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

Prime Factorization of 3948


2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 3948 are 2, 3, 7,47. Prime factorization of 3948 in exponential form is:

3948 = 22×31×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3944 and 3948.

LCM(3944,3948) = 23×31×71×171×291×471
LCM(3944,3948) = 3892728

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

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948

Least Common Multiple of 3944 and 3948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3944 and 3948, than apply into the LCM equation.

GCF(3944,3948) = 4
LCM(3944,3948) = ( 3944 × 3948) / 4
LCM(3944,3948) = 15570912 / 4
LCM(3944,3948) = 3892728

Properties of LCM 3944 and 3948

(i) The LCM of 3948 and 3944 is associative

LCM of 3944 and 3948 = LCM of 3948 and 3944

Related Least Common Multiples of 3944

Related Least Common Multiples of 3948

Frequently Asked Questions on LCM of 3944 and 3948

1. What is the LCM of 3944 and 3948?

Answer: LCM of 3944 and 3948 is 3892728.

2. 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.

3. What are the Factors of 3948?

Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.

4. How to Find the LCM of 3944 and 3948?

Answer:

Least Common Multiple of 3944 and 3948 = 3892728

Step 1: Find the prime factorization of 3944

3944 = 2 x 2 x 2 x 17 x 29

Step 2: Find the prime factorization of 3948

3948 = 2 x 2 x 3 x 7 x 47

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

LCM = 3892728 = 2 x 2 x 2 x 3 x 7 x 17 x 29 x 47

Step 4: Therefore, the least common multiple of 3944 and 3948 is 3892728.