Least Common Multiple of 6904 and 6912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6904 and 6912 the smallest integer that is 5965056 that is divisible by both numbers.

Least Common Multiple (LCM) of 6904 and 6912 is 5965056.

LCM(6904,6912) = 5965056

LCM of 6904 and 6912

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

LCM of:
and

Least Common Multiple of 6904 and 6912

LCM of 6904 and 6912 is 5965056

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6912. First we will calculate the prime factors of 6904 and 6912.

Prime Factorization of 6904


2 6904
2 3452
2 1726
863 863
1

Prime factors of 6904 are 2,863. Prime factorization of 6904 in exponential form is:

6904 = 23×8631

Prime Factorization of 6912


2 6912
2 3456
2 1728
2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 6912 are 2,3. Prime factorization of 6912 in exponential form is:

6912 = 28×33

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6912.

LCM(6904,6912) = 28×33×8631
LCM(6904,6912) = 5965056

Factors of 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1, 2, 4, 8, 863, 1726, 3452, 6904

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912

Least Common Multiple of 6904 and 6912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6904 and 6912, than apply into the LCM equation.

GCF(6904,6912) = 8
LCM(6904,6912) = ( 6904 × 6912) / 8
LCM(6904,6912) = 47720448 / 8
LCM(6904,6912) = 5965056

Properties of LCM 6904 and 6912

(i) The LCM of 6912 and 6904 is associative

LCM of 6904 and 6912 = LCM of 6912 and 6904

Related Least Common Multiples of 6904

Related Least Common Multiples of 6912

Frequently Asked Questions on LCM of 6904 and 6912

1. What is the LCM of 6904 and 6912?

Answer: LCM of 6904 and 6912 is 5965056.

2. What are the Factors of 6904?

Answer: Factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904. There are 8 integers that are factors of 6904. The greatest factor of 6904 is 6904.

3. What are the Factors of 6912?

Answer: Factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912. There are 36 integers that are factors of 6912. The greatest factor of 6912 is 6912.

4. How to Find the LCM of 6904 and 6912?

Answer:

Least Common Multiple of 6904 and 6912 = 5965056

Step 1: Find the prime factorization of 6904

6904 = 2 x 2 x 2 x 863

Step 2: Find the prime factorization of 6912

6912 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 5965056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 863

Step 4: Therefore, the least common multiple of 6904 and 6912 is 5965056.