Least Common Multiple of 3912 and 3916

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 3916 the smallest integer that is 3829848 that is divisible by both numbers.

Least Common Multiple (LCM) of 3912 and 3916 is 3829848.

LCM(3912,3916) = 3829848

LCM of 3912 and 3916

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

LCM of:
and

Least Common Multiple of 3912 and 3916

LCM of 3912 and 3916 is 3829848

Least common multiple can be found by multiplying the highest exponent prime factors of 3912 and 3916. First we will calculate the prime factors of 3912 and 3916.

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 3916


2 3916
2 1958
11 979
89 89
1

Prime factors of 3916 are 2, 11,89. Prime factorization of 3916 in exponential form is:

3916 = 22×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3912 and 3916.

LCM(3912,3916) = 23×31×111×891×1631
LCM(3912,3916) = 3829848

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 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

Least Common Multiple of 3912 and 3916 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 3916, than apply into the LCM equation.

GCF(3912,3916) = 4
LCM(3912,3916) = ( 3912 × 3916) / 4
LCM(3912,3916) = 15319392 / 4
LCM(3912,3916) = 3829848

Properties of LCM 3912 and 3916

(i) The LCM of 3916 and 3912 is associative

LCM of 3912 and 3916 = LCM of 3916 and 3912

Related Least Common Multiples of 3912

Related Least Common Multiples of 3916

Frequently Asked Questions on LCM of 3912 and 3916

1. What is the LCM of 3912 and 3916?

Answer: LCM of 3912 and 3916 is 3829848.

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 3916?

Answer: Factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. There are 12 integers that are factors of 3916. The greatest factor of 3916 is 3916.

4. How to Find the LCM of 3912 and 3916?

Answer:

Least Common Multiple of 3912 and 3916 = 3829848

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 3916

3916 = 2 x 2 x 11 x 89

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

LCM = 3829848 = 2 x 2 x 2 x 3 x 11 x 89 x 163

Step 4: Therefore, the least common multiple of 3912 and 3916 is 3829848.