Least Common Multiple of 8172 and 8177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8172 and 8177 the smallest integer that is 66822444 that is divisible by both numbers.

Least Common Multiple (LCM) of 8172 and 8177 is 66822444.

LCM(8172,8177) = 66822444

LCM of 8172 and 8177

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

LCM of:
and

Least Common Multiple of 8172 and 8177

LCM of 8172 and 8177 is 66822444

Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8177. First we will calculate the prime factors of 8172 and 8177.

Prime Factorization of 8172


2 8172
2 4086
3 2043
3 681
227 227
1

Prime factors of 8172 are 2, 3,227. Prime factorization of 8172 in exponential form is:

8172 = 22×32×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8177.

LCM(8172,8177) = 22×32×131×171×371×2271
LCM(8172,8177) = 66822444

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172

Factors of 8177

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

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

Least Common Multiple of 8172 and 8177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8177, than apply into the LCM equation.

GCF(8172,8177) = 1
LCM(8172,8177) = ( 8172 × 8177) / 1
LCM(8172,8177) = 66822444 / 1
LCM(8172,8177) = 66822444

Properties of LCM 8172 and 8177

(i) The LCM of 8177 and 8172 is associative

LCM of 8172 and 8177 = LCM of 8177 and 8172

Related Least Common Multiples of 8172

Related Least Common Multiples of 8177

Frequently Asked Questions on LCM of 8172 and 8177

1. What is the LCM of 8172 and 8177?

Answer: LCM of 8172 and 8177 is 66822444.

2. What are the Factors of 8172?

Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.

3. 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.

4. How to Find the LCM of 8172 and 8177?

Answer:

Least Common Multiple of 8172 and 8177 = 66822444

Step 1: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

Step 2: Find the prime factorization of 8177

8177 = 13 x 17 x 37

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

LCM = 66822444 = 2 x 2 x 3 x 3 x 13 x 17 x 37 x 227

Step 4: Therefore, the least common multiple of 8172 and 8177 is 66822444.