Least Common Multiple of 8184 and 8191

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 8191 the smallest integer that is 67035144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8184 and 8191 is 67035144.

LCM(8184,8191) = 67035144

LCM of 8184 and 8191

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

LCM of:
and

Least Common Multiple of 8184 and 8191

LCM of 8184 and 8191 is 67035144

Least common multiple can be found by multiplying the highest exponent prime factors of 8184 and 8191. First we will calculate the prime factors of 8184 and 8191.

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 8191


8191 8191
1

Prime factors of 8191 are 8191. Prime factorization of 8191 in exponential form is:

8191 = 81911

Now multiplying the highest exponent prime factors to calculate the LCM of 8184 and 8191.

LCM(8184,8191) = 23×31×111×311×81911
LCM(8184,8191) = 67035144

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 8191

List of positive integer factors of 8191 that divides 8191 without a remainder.

1, 8191

Least Common Multiple of 8184 and 8191 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 8191, than apply into the LCM equation.

GCF(8184,8191) = 1
LCM(8184,8191) = ( 8184 × 8191) / 1
LCM(8184,8191) = 67035144 / 1
LCM(8184,8191) = 67035144

Properties of LCM 8184 and 8191

(i) The LCM of 8191 and 8184 is associative

LCM of 8184 and 8191 = LCM of 8191 and 8184

Related Least Common Multiples of 8184

Related Least Common Multiples of 8191

Frequently Asked Questions on LCM of 8184 and 8191

1. What is the LCM of 8184 and 8191?

Answer: LCM of 8184 and 8191 is 67035144.

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 8191?

Answer: Factors of 8191 are 1, 8191. There are 2 integers that are factors of 8191. The greatest factor of 8191 is 8191.

4. How to Find the LCM of 8184 and 8191?

Answer:

Least Common Multiple of 8184 and 8191 = 67035144

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 8191

8191 = 8191

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

LCM = 67035144 = 2 x 2 x 2 x 3 x 11 x 31 x 8191

Step 4: Therefore, the least common multiple of 8184 and 8191 is 67035144.