Least Common Multiple of 8168 and 8173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8168 and 8173 the smallest integer that is 66757064 that is divisible by both numbers.

Least Common Multiple (LCM) of 8168 and 8173 is 66757064.

LCM(8168,8173) = 66757064

LCM of 8168 and 8173

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

LCM of:
and

Least Common Multiple of 8168 and 8173

LCM of 8168 and 8173 is 66757064

Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8173. First we will calculate the prime factors of 8168 and 8173.

Prime Factorization of 8168


2 8168
2 4084
2 2042
1021 1021
1

Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:

8168 = 23×10211

Prime Factorization of 8173


11 8173
743 743
1

Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:

8173 = 111×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8168 and 8173.

LCM(8168,8173) = 23×111×7431×10211
LCM(8168,8173) = 66757064

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1, 2, 4, 8, 1021, 2042, 4084, 8168

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1, 11, 743, 8173

Least Common Multiple of 8168 and 8173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8168 and 8173, than apply into the LCM equation.

GCF(8168,8173) = 1
LCM(8168,8173) = ( 8168 × 8173) / 1
LCM(8168,8173) = 66757064 / 1
LCM(8168,8173) = 66757064

Properties of LCM 8168 and 8173

(i) The LCM of 8173 and 8168 is associative

LCM of 8168 and 8173 = LCM of 8173 and 8168

Related Least Common Multiples of 8168

Related Least Common Multiples of 8173

Frequently Asked Questions on LCM of 8168 and 8173

1. What is the LCM of 8168 and 8173?

Answer: LCM of 8168 and 8173 is 66757064.

2. What are the Factors of 8168?

Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.

3. What are the Factors of 8173?

Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.

4. How to Find the LCM of 8168 and 8173?

Answer:

Least Common Multiple of 8168 and 8173 = 66757064

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

Step 2: Find the prime factorization of 8173

8173 = 11 x 743

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

LCM = 66757064 = 2 x 2 x 2 x 11 x 743 x 1021

Step 4: Therefore, the least common multiple of 8168 and 8173 is 66757064.