Least Common Multiple of 3944 and 3949

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 3949 the smallest integer that is 15574856 that is divisible by both numbers.

Least Common Multiple (LCM) of 3944 and 3949 is 15574856.

LCM(3944,3949) = 15574856

LCM of 3944 and 3949

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

LCM of:
and

Least Common Multiple of 3944 and 3949

LCM of 3944 and 3949 is 15574856

Least common multiple can be found by multiplying the highest exponent prime factors of 3944 and 3949. First we will calculate the prime factors of 3944 and 3949.

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 3949


11 3949
359 359
1

Prime factors of 3949 are 11,359. Prime factorization of 3949 in exponential form is:

3949 = 111×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3944 and 3949.

LCM(3944,3949) = 23×111×171×291×3591
LCM(3944,3949) = 15574856

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 3949

List of positive integer factors of 3949 that divides 3949 without a remainder.

1, 11, 359, 3949

Least Common Multiple of 3944 and 3949 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 3949, than apply into the LCM equation.

GCF(3944,3949) = 1
LCM(3944,3949) = ( 3944 × 3949) / 1
LCM(3944,3949) = 15574856 / 1
LCM(3944,3949) = 15574856

Properties of LCM 3944 and 3949

(i) The LCM of 3949 and 3944 is associative

LCM of 3944 and 3949 = LCM of 3949 and 3944

Related Least Common Multiples of 3944

Related Least Common Multiples of 3949

Frequently Asked Questions on LCM of 3944 and 3949

1. What is the LCM of 3944 and 3949?

Answer: LCM of 3944 and 3949 is 15574856.

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 3949?

Answer: Factors of 3949 are 1, 11, 359, 3949. There are 4 integers that are factors of 3949. The greatest factor of 3949 is 3949.

4. How to Find the LCM of 3944 and 3949?

Answer:

Least Common Multiple of 3944 and 3949 = 15574856

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 3949

3949 = 11 x 359

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

LCM = 15574856 = 2 x 2 x 2 x 11 x 17 x 29 x 359

Step 4: Therefore, the least common multiple of 3944 and 3949 is 15574856.