Least Common Multiple of 8160 and 8167

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 8167 the smallest integer that is 66642720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8160 and 8167 is 66642720.

LCM(8160,8167) = 66642720

LCM of 8160 and 8167

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

LCM of:
and

Least Common Multiple of 8160 and 8167

LCM of 8160 and 8167 is 66642720

Least common multiple can be found by multiplying the highest exponent prime factors of 8160 and 8167. First we will calculate the prime factors of 8160 and 8167.

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 8167


8167 8167
1

Prime factors of 8167 are 8167. Prime factorization of 8167 in exponential form is:

8167 = 81671

Now multiplying the highest exponent prime factors to calculate the LCM of 8160 and 8167.

LCM(8160,8167) = 25×31×51×171×81671
LCM(8160,8167) = 66642720

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 8167

List of positive integer factors of 8167 that divides 8167 without a remainder.

1, 8167

Least Common Multiple of 8160 and 8167 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 8167, than apply into the LCM equation.

GCF(8160,8167) = 1
LCM(8160,8167) = ( 8160 × 8167) / 1
LCM(8160,8167) = 66642720 / 1
LCM(8160,8167) = 66642720

Properties of LCM 8160 and 8167

(i) The LCM of 8167 and 8160 is associative

LCM of 8160 and 8167 = LCM of 8167 and 8160

Related Least Common Multiples of 8160

Related Least Common Multiples of 8167

Frequently Asked Questions on LCM of 8160 and 8167

1. What is the LCM of 8160 and 8167?

Answer: LCM of 8160 and 8167 is 66642720.

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 8167?

Answer: Factors of 8167 are 1, 8167. There are 2 integers that are factors of 8167. The greatest factor of 8167 is 8167.

4. How to Find the LCM of 8160 and 8167?

Answer:

Least Common Multiple of 8160 and 8167 = 66642720

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 8167

8167 = 8167

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

LCM = 66642720 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 8167

Step 4: Therefore, the least common multiple of 8160 and 8167 is 66642720.