Least Common Multiple of 6912 and 6916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6912 and 6916 the smallest integer that is 11950848 that is divisible by both numbers.

Least Common Multiple (LCM) of 6912 and 6916 is 11950848.

LCM(6912,6916) = 11950848

LCM of 6912 and 6916

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

LCM of:
and

Least Common Multiple of 6912 and 6916

LCM of 6912 and 6916 is 11950848

Least common multiple can be found by multiplying the highest exponent prime factors of 6912 and 6916. First we will calculate the prime factors of 6912 and 6916.

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

Prime Factorization of 6916


2 6916
2 3458
7 1729
13 247
19 19
1

Prime factors of 6916 are 2, 7, 13,19. Prime factorization of 6916 in exponential form is:

6916 = 22×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6912 and 6916.

LCM(6912,6916) = 28×33×71×131×191
LCM(6912,6916) = 11950848

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

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916

Least Common Multiple of 6912 and 6916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6912 and 6916, than apply into the LCM equation.

GCF(6912,6916) = 4
LCM(6912,6916) = ( 6912 × 6916) / 4
LCM(6912,6916) = 47803392 / 4
LCM(6912,6916) = 11950848

Properties of LCM 6912 and 6916

(i) The LCM of 6916 and 6912 is associative

LCM of 6912 and 6916 = LCM of 6916 and 6912

Related Least Common Multiples of 6912

Related Least Common Multiples of 6916

Frequently Asked Questions on LCM of 6912 and 6916

1. What is the LCM of 6912 and 6916?

Answer: LCM of 6912 and 6916 is 11950848.

2. 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.

3. What are the Factors of 6916?

Answer: Factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916. There are 24 integers that are factors of 6916. The greatest factor of 6916 is 6916.

4. How to Find the LCM of 6912 and 6916?

Answer:

Least Common Multiple of 6912 and 6916 = 11950848

Step 1: 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 2: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

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

LCM = 11950848 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 6912 and 6916 is 11950848.