Least Common Multiple of 6912 and 6917

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 6917 the smallest integer that is 47810304 that is divisible by both numbers.

Least Common Multiple (LCM) of 6912 and 6917 is 47810304.

LCM(6912,6917) = 47810304

LCM of 6912 and 6917

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

LCM of:
and

Least Common Multiple of 6912 and 6917

LCM of 6912 and 6917 is 47810304

Least common multiple can be found by multiplying the highest exponent prime factors of 6912 and 6917. First we will calculate the prime factors of 6912 and 6917.

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 6917


6917 6917
1

Prime factors of 6917 are 6917. Prime factorization of 6917 in exponential form is:

6917 = 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 6912 and 6917.

LCM(6912,6917) = 28×33×69171
LCM(6912,6917) = 47810304

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 6917

List of positive integer factors of 6917 that divides 6917 without a remainder.

1, 6917

Least Common Multiple of 6912 and 6917 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 6917, than apply into the LCM equation.

GCF(6912,6917) = 1
LCM(6912,6917) = ( 6912 × 6917) / 1
LCM(6912,6917) = 47810304 / 1
LCM(6912,6917) = 47810304

Properties of LCM 6912 and 6917

(i) The LCM of 6917 and 6912 is associative

LCM of 6912 and 6917 = LCM of 6917 and 6912

Related Least Common Multiples of 6912

Related Least Common Multiples of 6917

Frequently Asked Questions on LCM of 6912 and 6917

1. What is the LCM of 6912 and 6917?

Answer: LCM of 6912 and 6917 is 47810304.

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 6917?

Answer: Factors of 6917 are 1, 6917. There are 2 integers that are factors of 6917. The greatest factor of 6917 is 6917.

4. How to Find the LCM of 6912 and 6917?

Answer:

Least Common Multiple of 6912 and 6917 = 47810304

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 6917

6917 = 6917

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

LCM = 47810304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 6917

Step 4: Therefore, the least common multiple of 6912 and 6917 is 47810304.