Least Common Multiple of 8177 and 8184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8177 and 8184 the smallest integer that is 66920568 that is divisible by both numbers.

Least Common Multiple (LCM) of 8177 and 8184 is 66920568.

LCM(8177,8184) = 66920568

LCM of 8177 and 8184

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

LCM of:
and

Least Common Multiple of 8177 and 8184

LCM of 8177 and 8184 is 66920568

Least common multiple can be found by multiplying the highest exponent prime factors of 8177 and 8184. First we will calculate the prime factors of 8177 and 8184.

Prime Factorization of 8177


13 8177
17 629
37 37
1

Prime factors of 8177 are 13, 17,37. Prime factorization of 8177 in exponential form is:

8177 = 131×171×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8177 and 8184.

LCM(8177,8184) = 23×31×111×131×171×311×371
LCM(8177,8184) = 66920568

Factors of 8177

List of positive integer factors of 8177 that divides 8177 without a remainder.

1, 13, 17, 37, 221, 481, 629, 8177

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

Least Common Multiple of 8177 and 8184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8177 and 8184, than apply into the LCM equation.

GCF(8177,8184) = 1
LCM(8177,8184) = ( 8177 × 8184) / 1
LCM(8177,8184) = 66920568 / 1
LCM(8177,8184) = 66920568

Properties of LCM 8177 and 8184

(i) The LCM of 8184 and 8177 is associative

LCM of 8177 and 8184 = LCM of 8184 and 8177

Related Least Common Multiples of 8177

Related Least Common Multiples of 8184

Frequently Asked Questions on LCM of 8177 and 8184

1. What is the LCM of 8177 and 8184?

Answer: LCM of 8177 and 8184 is 66920568.

2. What are the Factors of 8177?

Answer: Factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177. There are 8 integers that are factors of 8177. The greatest factor of 8177 is 8177.

3. 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.

4. How to Find the LCM of 8177 and 8184?

Answer:

Least Common Multiple of 8177 and 8184 = 66920568

Step 1: Find the prime factorization of 8177

8177 = 13 x 17 x 37

Step 2: Find the prime factorization of 8184

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

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

LCM = 66920568 = 2 x 2 x 2 x 3 x 11 x 13 x 17 x 31 x 37

Step 4: Therefore, the least common multiple of 8177 and 8184 is 66920568.