Least Common Multiple of 3908 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 3908 and 3912 the smallest integer that is 3822024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3908 and 3912 is 3822024.

LCM(3908,3912) = 3822024

LCM of 3908 and 3912

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

LCM of:
and

Least Common Multiple of 3908 and 3912

LCM of 3908 and 3912 is 3822024

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3912. First we will calculate the prime factors of 3908 and 3912.

Prime Factorization of 3908


2 3908
2 1954
977 977
1

Prime factors of 3908 are 2,977. Prime factorization of 3908 in exponential form is:

3908 = 22×9771

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 3908 and 3912.

LCM(3908,3912) = 23×31×1631×9771
LCM(3908,3912) = 3822024

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1, 2, 4, 977, 1954, 3908

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 3908 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 3908 and 3912, than apply into the LCM equation.

GCF(3908,3912) = 4
LCM(3908,3912) = ( 3908 × 3912) / 4
LCM(3908,3912) = 15288096 / 4
LCM(3908,3912) = 3822024

Properties of LCM 3908 and 3912

(i) The LCM of 3912 and 3908 is associative

LCM of 3908 and 3912 = LCM of 3912 and 3908

Related Least Common Multiples of 3908

Related Least Common Multiples of 3912

Frequently Asked Questions on LCM of 3908 and 3912

1. What is the LCM of 3908 and 3912?

Answer: LCM of 3908 and 3912 is 3822024.

2. What are the Factors of 3908?

Answer: Factors of 3908 are 1, 2, 4, 977, 1954, 3908. There are 6 integers that are factors of 3908. The greatest factor of 3908 is 3908.

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 3908 and 3912?

Answer:

Least Common Multiple of 3908 and 3912 = 3822024

Step 1: Find the prime factorization of 3908

3908 = 2 x 2 x 977

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 = 3822024 = 2 x 2 x 2 x 3 x 163 x 977

Step 4: Therefore, the least common multiple of 3908 and 3912 is 3822024.