Least Common Multiple of 6908 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 6908 and 6912 the smallest integer that is 11937024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6908 and 6912 is 11937024.

LCM(6908,6912) = 11937024

LCM of 6908 and 6912

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

LCM of:
and

Least Common Multiple of 6908 and 6912

LCM of 6908 and 6912 is 11937024

Least common multiple can be found by multiplying the highest exponent prime factors of 6908 and 6912. First we will calculate the prime factors of 6908 and 6912.

Prime Factorization of 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

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 6908 and 6912.

LCM(6908,6912) = 28×33×111×1571
LCM(6908,6912) = 11937024

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

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 6908 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 6908 and 6912, than apply into the LCM equation.

GCF(6908,6912) = 4
LCM(6908,6912) = ( 6908 × 6912) / 4
LCM(6908,6912) = 47748096 / 4
LCM(6908,6912) = 11937024

Properties of LCM 6908 and 6912

(i) The LCM of 6912 and 6908 is associative

LCM of 6908 and 6912 = LCM of 6912 and 6908

Related Least Common Multiples of 6908

Related Least Common Multiples of 6912

Frequently Asked Questions on LCM of 6908 and 6912

1. What is the LCM of 6908 and 6912?

Answer: LCM of 6908 and 6912 is 11937024.

2. What are the Factors of 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

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 6908 and 6912?

Answer:

Least Common Multiple of 6908 and 6912 = 11937024

Step 1: Find the prime factorization of 6908

6908 = 2 x 2 x 11 x 157

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 = 11937024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 157

Step 4: Therefore, the least common multiple of 6908 and 6912 is 11937024.