Least Common Multiple of 3930 and 3934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3930 and 3934 the smallest integer that is 7730310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3930 and 3934 is 7730310.

LCM(3930,3934) = 7730310

LCM of 3930 and 3934

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

LCM of:
and

Least Common Multiple of 3930 and 3934

LCM of 3930 and 3934 is 7730310

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3934. First we will calculate the prime factors of 3930 and 3934.

Prime Factorization of 3930


2 3930
3 1965
5 655
131 131
1

Prime factors of 3930 are 2, 3, 5,131. Prime factorization of 3930 in exponential form is:

3930 = 21×31×51×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3934.

LCM(3930,3934) = 21×31×51×71×1311×2811
LCM(3930,3934) = 7730310

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930

Factors of 3934

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

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

Least Common Multiple of 3930 and 3934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3930 and 3934, than apply into the LCM equation.

GCF(3930,3934) = 2
LCM(3930,3934) = ( 3930 × 3934) / 2
LCM(3930,3934) = 15460620 / 2
LCM(3930,3934) = 7730310

Properties of LCM 3930 and 3934

(i) The LCM of 3934 and 3930 is associative

LCM of 3930 and 3934 = LCM of 3934 and 3930

Related Least Common Multiples of 3930

Related Least Common Multiples of 3934

Frequently Asked Questions on LCM of 3930 and 3934

1. What is the LCM of 3930 and 3934?

Answer: LCM of 3930 and 3934 is 7730310.

2. What are the Factors of 3930?

Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.

3. 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.

4. How to Find the LCM of 3930 and 3934?

Answer:

Least Common Multiple of 3930 and 3934 = 7730310

Step 1: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 3934

3934 = 2 x 7 x 281

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

LCM = 7730310 = 2 x 3 x 5 x 7 x 131 x 281

Step 4: Therefore, the least common multiple of 3930 and 3934 is 7730310.