Least Common Multiple of 8160 and 8166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8160 and 8166 the smallest integer that is 11105760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8160 and 8166 is 11105760.

LCM(8160,8166) = 11105760

LCM of 8160 and 8166

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

LCM of:
and

Least Common Multiple of 8160 and 8166

LCM of 8160 and 8166 is 11105760

Least common multiple can be found by multiplying the highest exponent prime factors of 8160 and 8166. First we will calculate the prime factors of 8160 and 8166.

Prime Factorization of 8160


2 8160
2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 8160 are 2, 3, 5,17. Prime factorization of 8160 in exponential form is:

8160 = 25×31×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8160 and 8166.

LCM(8160,8166) = 25×31×51×171×13611
LCM(8160,8166) = 11105760

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160

Factors of 8166

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

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

Least Common Multiple of 8160 and 8166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8160 and 8166, than apply into the LCM equation.

GCF(8160,8166) = 6
LCM(8160,8166) = ( 8160 × 8166) / 6
LCM(8160,8166) = 66634560 / 6
LCM(8160,8166) = 11105760

Properties of LCM 8160 and 8166

(i) The LCM of 8166 and 8160 is associative

LCM of 8160 and 8166 = LCM of 8166 and 8160

Related Least Common Multiples of 8160

Related Least Common Multiples of 8166

Frequently Asked Questions on LCM of 8160 and 8166

1. What is the LCM of 8160 and 8166?

Answer: LCM of 8160 and 8166 is 11105760.

2. What are the Factors of 8160?

Answer: Factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160. There are 48 integers that are factors of 8160. The greatest factor of 8160 is 8160.

3. 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.

4. How to Find the LCM of 8160 and 8166?

Answer:

Least Common Multiple of 8160 and 8166 = 11105760

Step 1: Find the prime factorization of 8160

8160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 8166

8166 = 2 x 3 x 1361

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

LCM = 11105760 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1361

Step 4: Therefore, the least common multiple of 8160 and 8166 is 11105760.