Least Common Multiple of 8184 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 8184 and 8192 the smallest integer that is 8380416 that is divisible by both numbers.

Least Common Multiple (LCM) of 8184 and 8192 is 8380416.

LCM(8184,8192) = 8380416

LCM of 8184 and 8192

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

LCM of:
and

Least Common Multiple of 8184 and 8192

LCM of 8184 and 8192 is 8380416

Least common multiple can be found by multiplying the highest exponent prime factors of 8184 and 8192. First we will calculate the prime factors of 8184 and 8192.

Prime Factorization of 8184


2 8184
2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 8184 are 2, 3, 11,31. Prime factorization of 8184 in exponential form is:

8184 = 23×31×111×311

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 8184 and 8192.

LCM(8184,8192) = 213×31×111×311
LCM(8184,8192) = 8380416

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184

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 8184 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 8184 and 8192, than apply into the LCM equation.

GCF(8184,8192) = 8
LCM(8184,8192) = ( 8184 × 8192) / 8
LCM(8184,8192) = 67043328 / 8
LCM(8184,8192) = 8380416

Properties of LCM 8184 and 8192

(i) The LCM of 8192 and 8184 is associative

LCM of 8184 and 8192 = LCM of 8192 and 8184

Related Least Common Multiples of 8184

Related Least Common Multiples of 8192

Frequently Asked Questions on LCM of 8184 and 8192

1. What is the LCM of 8184 and 8192?

Answer: LCM of 8184 and 8192 is 8380416.

2. What are the Factors of 8184?

Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.

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 8184 and 8192?

Answer:

Least Common Multiple of 8184 and 8192 = 8380416

Step 1: Find the prime factorization of 8184

8184 = 2 x 2 x 2 x 3 x 11 x 31

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 = 8380416 = 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 11 x 31

Step 4: Therefore, the least common multiple of 8184 and 8192 is 8380416.