Least Common Multiple of 3934 and 3942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3934 and 3942 the smallest integer that is 7753914 that is divisible by both numbers.

Least Common Multiple (LCM) of 3934 and 3942 is 7753914.

LCM(3934,3942) = 7753914

LCM of 3934 and 3942

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

LCM of:
and

Least Common Multiple of 3934 and 3942

LCM of 3934 and 3942 is 7753914

Least common multiple can be found by multiplying the highest exponent prime factors of 3934 and 3942. First we will calculate the prime factors of 3934 and 3942.

Prime Factorization of 3934


2 3934
7 1967
281 281
1

Prime factors of 3934 are 2, 7,281. Prime factorization of 3934 in exponential form is:

3934 = 21×71×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3934 and 3942.

LCM(3934,3942) = 21×33×71×731×2811
LCM(3934,3942) = 7753914

Factors of 3934

List of positive integer factors of 3934 that divides 3934 without a remainder.

1, 2, 7, 14, 281, 562, 1967, 3934

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

Least Common Multiple of 3934 and 3942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3934 and 3942, than apply into the LCM equation.

GCF(3934,3942) = 2
LCM(3934,3942) = ( 3934 × 3942) / 2
LCM(3934,3942) = 15507828 / 2
LCM(3934,3942) = 7753914

Properties of LCM 3934 and 3942

(i) The LCM of 3942 and 3934 is associative

LCM of 3934 and 3942 = LCM of 3942 and 3934

Related Least Common Multiples of 3934

Related Least Common Multiples of 3942

Frequently Asked Questions on LCM of 3934 and 3942

1. What is the LCM of 3934 and 3942?

Answer: LCM of 3934 and 3942 is 7753914.

2. What are the Factors of 3934?

Answer: Factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934. There are 8 integers that are factors of 3934. The greatest factor of 3934 is 3934.

3. 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.

4. How to Find the LCM of 3934 and 3942?

Answer:

Least Common Multiple of 3934 and 3942 = 7753914

Step 1: Find the prime factorization of 3934

3934 = 2 x 7 x 281

Step 2: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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

LCM = 7753914 = 2 x 3 x 3 x 3 x 7 x 73 x 281

Step 4: Therefore, the least common multiple of 3934 and 3942 is 7753914.