Least Common Multiple of 3904 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 3904 and 3912 the smallest integer that is 1909056 that is divisible by both numbers.

Least Common Multiple (LCM) of 3904 and 3912 is 1909056.

LCM(3904,3912) = 1909056

LCM of 3904 and 3912

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

LCM of:
and

Least Common Multiple of 3904 and 3912

LCM of 3904 and 3912 is 1909056

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3912. First we will calculate the prime factors of 3904 and 3912.

Prime Factorization of 3904


2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 3904 are 2,61. Prime factorization of 3904 in exponential form is:

3904 = 26×611

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 3904 and 3912.

LCM(3904,3912) = 26×31×611×1631
LCM(3904,3912) = 1909056

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

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 3904 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 3904 and 3912, than apply into the LCM equation.

GCF(3904,3912) = 8
LCM(3904,3912) = ( 3904 × 3912) / 8
LCM(3904,3912) = 15272448 / 8
LCM(3904,3912) = 1909056

Properties of LCM 3904 and 3912

(i) The LCM of 3912 and 3904 is associative

LCM of 3904 and 3912 = LCM of 3912 and 3904

Related Least Common Multiples of 3904

Related Least Common Multiples of 3912

Frequently Asked Questions on LCM of 3904 and 3912

1. What is the LCM of 3904 and 3912?

Answer: LCM of 3904 and 3912 is 1909056.

2. What are the Factors of 3904?

Answer: Factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. There are 14 integers that are factors of 3904. The greatest factor of 3904 is 3904.

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 3904 and 3912?

Answer:

Least Common Multiple of 3904 and 3912 = 1909056

Step 1: Find the prime factorization of 3904

3904 = 2 x 2 x 2 x 2 x 2 x 2 x 61

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 = 1909056 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61 x 163

Step 4: Therefore, the least common multiple of 3904 and 3912 is 1909056.