Least Common Multiple of 6912 and 6918

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 6918 the smallest integer that is 7969536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6912 and 6918 is 7969536.

LCM(6912,6918) = 7969536

LCM of 6912 and 6918

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

LCM of:
and

Least Common Multiple of 6912 and 6918

LCM of 6912 and 6918 is 7969536

Least common multiple can be found by multiplying the highest exponent prime factors of 6912 and 6918. First we will calculate the prime factors of 6912 and 6918.

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 6918


2 6918
3 3459
1153 1153
1

Prime factors of 6918 are 2, 3,1153. Prime factorization of 6918 in exponential form is:

6918 = 21×31×11531

Now multiplying the highest exponent prime factors to calculate the LCM of 6912 and 6918.

LCM(6912,6918) = 28×33×11531
LCM(6912,6918) = 7969536

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 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1, 2, 3, 6, 1153, 2306, 3459, 6918

Least Common Multiple of 6912 and 6918 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 6918, than apply into the LCM equation.

GCF(6912,6918) = 6
LCM(6912,6918) = ( 6912 × 6918) / 6
LCM(6912,6918) = 47817216 / 6
LCM(6912,6918) = 7969536

Properties of LCM 6912 and 6918

(i) The LCM of 6918 and 6912 is associative

LCM of 6912 and 6918 = LCM of 6918 and 6912

Related Least Common Multiples of 6912

Related Least Common Multiples of 6918

Frequently Asked Questions on LCM of 6912 and 6918

1. What is the LCM of 6912 and 6918?

Answer: LCM of 6912 and 6918 is 7969536.

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 6918?

Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.

4. How to Find the LCM of 6912 and 6918?

Answer:

Least Common Multiple of 6912 and 6918 = 7969536

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 6918

6918 = 2 x 3 x 1153

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

LCM = 7969536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 1153

Step 4: Therefore, the least common multiple of 6912 and 6918 is 7969536.