Least Common Multiple of 8166 and 8170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8166 and 8170 the smallest integer that is 33358110 that is divisible by both numbers.

Least Common Multiple (LCM) of 8166 and 8170 is 33358110.

LCM(8166,8170) = 33358110

LCM of 8166 and 8170

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

LCM of:
and

Least Common Multiple of 8166 and 8170

LCM of 8166 and 8170 is 33358110

Least common multiple can be found by multiplying the highest exponent prime factors of 8166 and 8170. First we will calculate the prime factors of 8166 and 8170.

Prime Factorization of 8166


2 8166
3 4083
1361 1361
1

Prime factors of 8166 are 2, 3,1361. Prime factorization of 8166 in exponential form is:

8166 = 21×31×13611

Prime Factorization of 8170


2 8170
5 4085
19 817
43 43
1

Prime factors of 8170 are 2, 5, 19,43. Prime factorization of 8170 in exponential form is:

8170 = 21×51×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8166 and 8170.

LCM(8166,8170) = 21×31×51×191×431×13611
LCM(8166,8170) = 33358110

Factors of 8166

List of positive integer factors of 8166 that divides 8166 without a remainder.

1, 2, 3, 6, 1361, 2722, 4083, 8166

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170

Least Common Multiple of 8166 and 8170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8166 and 8170, than apply into the LCM equation.

GCF(8166,8170) = 2
LCM(8166,8170) = ( 8166 × 8170) / 2
LCM(8166,8170) = 66716220 / 2
LCM(8166,8170) = 33358110

Properties of LCM 8166 and 8170

(i) The LCM of 8170 and 8166 is associative

LCM of 8166 and 8170 = LCM of 8170 and 8166

Related Least Common Multiples of 8166

Related Least Common Multiples of 8170

Frequently Asked Questions on LCM of 8166 and 8170

1. What is the LCM of 8166 and 8170?

Answer: LCM of 8166 and 8170 is 33358110.

2. What are the Factors of 8166?

Answer: Factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166. There are 8 integers that are factors of 8166. The greatest factor of 8166 is 8166.

3. What are the Factors of 8170?

Answer: Factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170. There are 16 integers that are factors of 8170. The greatest factor of 8170 is 8170.

4. How to Find the LCM of 8166 and 8170?

Answer:

Least Common Multiple of 8166 and 8170 = 33358110

Step 1: Find the prime factorization of 8166

8166 = 2 x 3 x 1361

Step 2: Find the prime factorization of 8170

8170 = 2 x 5 x 19 x 43

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

LCM = 33358110 = 2 x 3 x 5 x 19 x 43 x 1361

Step 4: Therefore, the least common multiple of 8166 and 8170 is 33358110.