Least Common Multiple of 8187 and 8192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8187 and 8192 the smallest integer that is 67067904 that is divisible by both numbers.

Least Common Multiple (LCM) of 8187 and 8192 is 67067904.

LCM(8187,8192) = 67067904

LCM of 8187 and 8192

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

LCM of:
and

Least Common Multiple of 8187 and 8192

LCM of 8187 and 8192 is 67067904

Least common multiple can be found by multiplying the highest exponent prime factors of 8187 and 8192. First we will calculate the prime factors of 8187 and 8192.

Prime Factorization of 8187


3 8187
2729 2729
1

Prime factors of 8187 are 3,2729. Prime factorization of 8187 in exponential form is:

8187 = 31×27291

Prime Factorization of 8192


2 8192
2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 8192 are 2. Prime factorization of 8192 in exponential form is:

8192 = 213

Now multiplying the highest exponent prime factors to calculate the LCM of 8187 and 8192.

LCM(8187,8192) = 213×31×27291
LCM(8187,8192) = 67067904

Factors of 8187

List of positive integer factors of 8187 that divides 8187 without a remainder.

1, 3, 2729, 8187

Factors of 8192

List of positive integer factors of 8192 that divides 8192 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

Least Common Multiple of 8187 and 8192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8187 and 8192, than apply into the LCM equation.

GCF(8187,8192) = 1
LCM(8187,8192) = ( 8187 × 8192) / 1
LCM(8187,8192) = 67067904 / 1
LCM(8187,8192) = 67067904

Properties of LCM 8187 and 8192

(i) The LCM of 8192 and 8187 is associative

LCM of 8187 and 8192 = LCM of 8192 and 8187

Related Least Common Multiples of 8187

Related Least Common Multiples of 8192

Frequently Asked Questions on LCM of 8187 and 8192

1. What is the LCM of 8187 and 8192?

Answer: LCM of 8187 and 8192 is 67067904.

2. What are the Factors of 8187?

Answer: Factors of 8187 are 1, 3, 2729, 8187. There are 4 integers that are factors of 8187. The greatest factor of 8187 is 8187.

3. What are the Factors of 8192?

Answer: Factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. There are 14 integers that are factors of 8192. The greatest factor of 8192 is 8192.

4. How to Find the LCM of 8187 and 8192?

Answer:

Least Common Multiple of 8187 and 8192 = 67067904

Step 1: Find the prime factorization of 8187

8187 = 3 x 2729

Step 2: Find the prime factorization of 8192

8192 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 67067904 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2729

Step 4: Therefore, the least common multiple of 8187 and 8192 is 67067904.