Least Common Multiple of 8165 and 8172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8165 and 8172 the smallest integer that is 66724380 that is divisible by both numbers.

Least Common Multiple (LCM) of 8165 and 8172 is 66724380.

LCM(8165,8172) = 66724380

LCM of 8165 and 8172

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

LCM of:
and

Least Common Multiple of 8165 and 8172

LCM of 8165 and 8172 is 66724380

Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8172. First we will calculate the prime factors of 8165 and 8172.

Prime Factorization of 8165


5 8165
23 1633
71 71
1

Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:

8165 = 51×231×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8172.

LCM(8165,8172) = 22×32×51×231×711×2271
LCM(8165,8172) = 66724380

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1, 5, 23, 71, 115, 355, 1633, 8165

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

Least Common Multiple of 8165 and 8172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8165 and 8172, than apply into the LCM equation.

GCF(8165,8172) = 1
LCM(8165,8172) = ( 8165 × 8172) / 1
LCM(8165,8172) = 66724380 / 1
LCM(8165,8172) = 66724380

Properties of LCM 8165 and 8172

(i) The LCM of 8172 and 8165 is associative

LCM of 8165 and 8172 = LCM of 8172 and 8165

Related Least Common Multiples of 8165

Related Least Common Multiples of 8172

Frequently Asked Questions on LCM of 8165 and 8172

1. What is the LCM of 8165 and 8172?

Answer: LCM of 8165 and 8172 is 66724380.

2. What are the Factors of 8165?

Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.

3. 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.

4. How to Find the LCM of 8165 and 8172?

Answer:

Least Common Multiple of 8165 and 8172 = 66724380

Step 1: Find the prime factorization of 8165

8165 = 5 x 23 x 71

Step 2: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

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

LCM = 66724380 = 2 x 2 x 3 x 3 x 5 x 23 x 71 x 227

Step 4: Therefore, the least common multiple of 8165 and 8172 is 66724380.