Least Common Multiple of 3942 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 3942 and 3944 the smallest integer that is 7773624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3942 and 3944 is 7773624.

LCM(3942,3944) = 7773624

LCM of 3942 and 3944

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

LCM of:
and

Least Common Multiple of 3942 and 3944

LCM of 3942 and 3944 is 7773624

Least common multiple can be found by multiplying the highest exponent prime factors of 3942 and 3944. First we will calculate the prime factors of 3942 and 3944.

Prime Factorization of 3942


2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 3942 are 2, 3,73. Prime factorization of 3942 in exponential form is:

3942 = 21×33×731

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 3942 and 3944.

LCM(3942,3944) = 23×33×171×291×731
LCM(3942,3944) = 7773624

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942

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 3942 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 3942 and 3944, than apply into the LCM equation.

GCF(3942,3944) = 2
LCM(3942,3944) = ( 3942 × 3944) / 2
LCM(3942,3944) = 15547248 / 2
LCM(3942,3944) = 7773624

Properties of LCM 3942 and 3944

(i) The LCM of 3944 and 3942 is associative

LCM of 3942 and 3944 = LCM of 3944 and 3942

Related Least Common Multiples of 3942

Related Least Common Multiples of 3944

Frequently Asked Questions on LCM of 3942 and 3944

1. What is the LCM of 3942 and 3944?

Answer: LCM of 3942 and 3944 is 7773624.

2. What are the Factors of 3942?

Answer: Factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. There are 16 integers that are factors of 3942. The greatest factor of 3942 is 3942.

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 3942 and 3944?

Answer:

Least Common Multiple of 3942 and 3944 = 7773624

Step 1: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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 = 7773624 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 29 x 73

Step 4: Therefore, the least common multiple of 3942 and 3944 is 7773624.