Least Common Multiple of 3912 and 3915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3912 and 3915 the smallest integer that is 5105160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3912 and 3915 is 5105160.

LCM(3912,3915) = 5105160

LCM of 3912 and 3915

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

LCM of:
and

Least Common Multiple of 3912 and 3915

LCM of 3912 and 3915 is 5105160

Least common multiple can be found by multiplying the highest exponent prime factors of 3912 and 3915. First we will calculate the prime factors of 3912 and 3915.

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

Prime Factorization of 3915


3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 3915 are 3, 5,29. Prime factorization of 3915 in exponential form is:

3915 = 33×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3912 and 3915.

LCM(3912,3915) = 23×33×51×291×1631
LCM(3912,3915) = 5105160

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

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915

Least Common Multiple of 3912 and 3915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3912 and 3915, than apply into the LCM equation.

GCF(3912,3915) = 3
LCM(3912,3915) = ( 3912 × 3915) / 3
LCM(3912,3915) = 15315480 / 3
LCM(3912,3915) = 5105160

Properties of LCM 3912 and 3915

(i) The LCM of 3915 and 3912 is associative

LCM of 3912 and 3915 = LCM of 3915 and 3912

Related Least Common Multiples of 3912

Related Least Common Multiples of 3915

Frequently Asked Questions on LCM of 3912 and 3915

1. What is the LCM of 3912 and 3915?

Answer: LCM of 3912 and 3915 is 5105160.

2. 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.

3. What are the Factors of 3915?

Answer: Factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915. There are 16 integers that are factors of 3915. The greatest factor of 3915 is 3915.

4. How to Find the LCM of 3912 and 3915?

Answer:

Least Common Multiple of 3912 and 3915 = 5105160

Step 1: Find the prime factorization of 3912

3912 = 2 x 2 x 2 x 3 x 163

Step 2: Find the prime factorization of 3915

3915 = 3 x 3 x 3 x 5 x 29

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

LCM = 5105160 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29 x 163

Step 4: Therefore, the least common multiple of 3912 and 3915 is 5105160.