Least Common Multiple of 6907 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 6907 and 6912 the smallest integer that is 47741184 that is divisible by both numbers.

Least Common Multiple (LCM) of 6907 and 6912 is 47741184.

LCM(6907,6912) = 47741184

LCM of 6907 and 6912

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

LCM of:
and

Least Common Multiple of 6907 and 6912

LCM of 6907 and 6912 is 47741184

Least common multiple can be found by multiplying the highest exponent prime factors of 6907 and 6912. First we will calculate the prime factors of 6907 and 6912.

Prime Factorization of 6907


6907 6907
1

Prime factors of 6907 are 6907. Prime factorization of 6907 in exponential form is:

6907 = 69071

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 6907 and 6912.

LCM(6907,6912) = 28×33×69071
LCM(6907,6912) = 47741184

Factors of 6907

List of positive integer factors of 6907 that divides 6907 without a remainder.

1, 6907

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 6907 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 6907 and 6912, than apply into the LCM equation.

GCF(6907,6912) = 1
LCM(6907,6912) = ( 6907 × 6912) / 1
LCM(6907,6912) = 47741184 / 1
LCM(6907,6912) = 47741184

Properties of LCM 6907 and 6912

(i) The LCM of 6912 and 6907 is associative

LCM of 6907 and 6912 = LCM of 6912 and 6907

Related Least Common Multiples of 6907

Related Least Common Multiples of 6912

Frequently Asked Questions on LCM of 6907 and 6912

1. What is the LCM of 6907 and 6912?

Answer: LCM of 6907 and 6912 is 47741184.

2. What are the Factors of 6907?

Answer: Factors of 6907 are 1, 6907. There are 2 integers that are factors of 6907. The greatest factor of 6907 is 6907.

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 6907 and 6912?

Answer:

Least Common Multiple of 6907 and 6912 = 47741184

Step 1: Find the prime factorization of 6907

6907 = 6907

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 = 47741184 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 6907

Step 4: Therefore, the least common multiple of 6907 and 6912 is 47741184.