Least Common Multiple of 3930 and 3938

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 3938 the smallest integer that is 7738170 that is divisible by both numbers.

Least Common Multiple (LCM) of 3930 and 3938 is 7738170.

LCM(3930,3938) = 7738170

LCM of 3930 and 3938

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

LCM of:
and

Least Common Multiple of 3930 and 3938

LCM of 3930 and 3938 is 7738170

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3938. First we will calculate the prime factors of 3930 and 3938.

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 3938


2 3938
11 1969
179 179
1

Prime factors of 3938 are 2, 11,179. Prime factorization of 3938 in exponential form is:

3938 = 21×111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3938.

LCM(3930,3938) = 21×31×51×111×1311×1791
LCM(3930,3938) = 7738170

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 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1, 2, 11, 22, 179, 358, 1969, 3938

Least Common Multiple of 3930 and 3938 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 3938, than apply into the LCM equation.

GCF(3930,3938) = 2
LCM(3930,3938) = ( 3930 × 3938) / 2
LCM(3930,3938) = 15476340 / 2
LCM(3930,3938) = 7738170

Properties of LCM 3930 and 3938

(i) The LCM of 3938 and 3930 is associative

LCM of 3930 and 3938 = LCM of 3938 and 3930

Related Least Common Multiples of 3930

Related Least Common Multiples of 3938

Frequently Asked Questions on LCM of 3930 and 3938

1. What is the LCM of 3930 and 3938?

Answer: LCM of 3930 and 3938 is 7738170.

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 3938?

Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.

4. How to Find the LCM of 3930 and 3938?

Answer:

Least Common Multiple of 3930 and 3938 = 7738170

Step 1: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 3938

3938 = 2 x 11 x 179

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

LCM = 7738170 = 2 x 3 x 5 x 11 x 131 x 179

Step 4: Therefore, the least common multiple of 3930 and 3938 is 7738170.