Least Common Multiple of 8165 and 8171

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 8171 the smallest integer that is 66716215 that is divisible by both numbers.

Least Common Multiple (LCM) of 8165 and 8171 is 66716215.

LCM(8165,8171) = 66716215

LCM of 8165 and 8171

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

LCM of:
and

Least Common Multiple of 8165 and 8171

LCM of 8165 and 8171 is 66716215

Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8171. First we will calculate the prime factors of 8165 and 8171.

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 8171


8171 8171
1

Prime factors of 8171 are 8171. Prime factorization of 8171 in exponential form is:

8171 = 81711

Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8171.

LCM(8165,8171) = 51×231×711×81711
LCM(8165,8171) = 66716215

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 8171

List of positive integer factors of 8171 that divides 8171 without a remainder.

1, 8171

Least Common Multiple of 8165 and 8171 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 8171, than apply into the LCM equation.

GCF(8165,8171) = 1
LCM(8165,8171) = ( 8165 × 8171) / 1
LCM(8165,8171) = 66716215 / 1
LCM(8165,8171) = 66716215

Properties of LCM 8165 and 8171

(i) The LCM of 8171 and 8165 is associative

LCM of 8165 and 8171 = LCM of 8171 and 8165

Related Least Common Multiples of 8165

Related Least Common Multiples of 8171

Frequently Asked Questions on LCM of 8165 and 8171

1. What is the LCM of 8165 and 8171?

Answer: LCM of 8165 and 8171 is 66716215.

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 8171?

Answer: Factors of 8171 are 1, 8171. There are 2 integers that are factors of 8171. The greatest factor of 8171 is 8171.

4. How to Find the LCM of 8165 and 8171?

Answer:

Least Common Multiple of 8165 and 8171 = 66716215

Step 1: Find the prime factorization of 8165

8165 = 5 x 23 x 71

Step 2: Find the prime factorization of 8171

8171 = 8171

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

LCM = 66716215 = 5 x 23 x 71 x 8171

Step 4: Therefore, the least common multiple of 8165 and 8171 is 66716215.