Least Common Multiple of 3910 and 3912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3910 and 3912 the smallest integer that is 7647960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3910 and 3912 is 7647960.

LCM(3910,3912) = 7647960

LCM of 3910 and 3912

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

LCM of:
and

Least Common Multiple of 3910 and 3912

LCM of 3910 and 3912 is 7647960

Least common multiple can be found by multiplying the highest exponent prime factors of 3910 and 3912. First we will calculate the prime factors of 3910 and 3912.

Prime Factorization of 3910


2 3910
5 1955
17 391
23 23
1

Prime factors of 3910 are 2, 5, 17,23. Prime factorization of 3910 in exponential form is:

3910 = 21×51×171×231

Prime Factorization of 3912


2 3912
2 1956
2 978
3 489
163 163
1

Prime factors of 3912 are 2, 3,163. Prime factorization of 3912 in exponential form is:

3912 = 23×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3910 and 3912.

LCM(3910,3912) = 23×31×51×171×231×1631
LCM(3910,3912) = 7647960

Factors of 3910

List of positive integer factors of 3910 that divides 3910 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910

Factors of 3912

List of positive integer factors of 3912 that divides 3912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912

Least Common Multiple of 3910 and 3912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3910 and 3912, than apply into the LCM equation.

GCF(3910,3912) = 2
LCM(3910,3912) = ( 3910 × 3912) / 2
LCM(3910,3912) = 15295920 / 2
LCM(3910,3912) = 7647960

Properties of LCM 3910 and 3912

(i) The LCM of 3912 and 3910 is associative

LCM of 3910 and 3912 = LCM of 3912 and 3910

Related Least Common Multiples of 3910

Related Least Common Multiples of 3912

Frequently Asked Questions on LCM of 3910 and 3912

1. What is the LCM of 3910 and 3912?

Answer: LCM of 3910 and 3912 is 7647960.

2. What are the Factors of 3910?

Answer: Factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910. There are 16 integers that are factors of 3910. The greatest factor of 3910 is 3910.

3. What are the Factors of 3912?

Answer: Factors of 3912 are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912. There are 16 integers that are factors of 3912. The greatest factor of 3912 is 3912.

4. How to Find the LCM of 3910 and 3912?

Answer:

Least Common Multiple of 3910 and 3912 = 7647960

Step 1: Find the prime factorization of 3910

3910 = 2 x 5 x 17 x 23

Step 2: Find the prime factorization of 3912

3912 = 2 x 2 x 2 x 3 x 163

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

LCM = 7647960 = 2 x 2 x 2 x 3 x 5 x 17 x 23 x 163

Step 4: Therefore, the least common multiple of 3910 and 3912 is 7647960.