Least Common Multiple of 3940 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 3940 and 3944 the smallest integer that is 3884840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3940 and 3944 is 3884840.

LCM(3940,3944) = 3884840

LCM of 3940 and 3944

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

LCM of:
and

Least Common Multiple of 3940 and 3944

LCM of 3940 and 3944 is 3884840

Least common multiple can be found by multiplying the highest exponent prime factors of 3940 and 3944. First we will calculate the prime factors of 3940 and 3944.

Prime Factorization of 3940


2 3940
2 1970
5 985
197 197
1

Prime factors of 3940 are 2, 5,197. Prime factorization of 3940 in exponential form is:

3940 = 22×51×1971

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 3940 and 3944.

LCM(3940,3944) = 23×51×171×291×1971
LCM(3940,3944) = 3884840

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940

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 3940 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 3940 and 3944, than apply into the LCM equation.

GCF(3940,3944) = 4
LCM(3940,3944) = ( 3940 × 3944) / 4
LCM(3940,3944) = 15539360 / 4
LCM(3940,3944) = 3884840

Properties of LCM 3940 and 3944

(i) The LCM of 3944 and 3940 is associative

LCM of 3940 and 3944 = LCM of 3944 and 3940

Related Least Common Multiples of 3940

Related Least Common Multiples of 3944

Frequently Asked Questions on LCM of 3940 and 3944

1. What is the LCM of 3940 and 3944?

Answer: LCM of 3940 and 3944 is 3884840.

2. What are the Factors of 3940?

Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.

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 3940 and 3944?

Answer:

Least Common Multiple of 3940 and 3944 = 3884840

Step 1: Find the prime factorization of 3940

3940 = 2 x 2 x 5 x 197

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 = 3884840 = 2 x 2 x 2 x 5 x 17 x 29 x 197

Step 4: Therefore, the least common multiple of 3940 and 3944 is 3884840.