Least Common Multiple of 2160 and 2165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2160 and 2165 the smallest integer that is 935280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2160 and 2165 is 935280.

LCM(2160,2165) = 935280

LCM of 2160 and 2165

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

LCM of:
and

Least Common Multiple of 2160 and 2165

LCM of 2160 and 2165 is 935280

Least common multiple can be found by multiplying the highest exponent prime factors of 2160 and 2165. First we will calculate the prime factors of 2160 and 2165.

Prime Factorization of 2160


2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 2160 are 2, 3,5. Prime factorization of 2160 in exponential form is:

2160 = 24×33×51

Prime Factorization of 2165


5 2165
433 433
1

Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:

2165 = 51×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 2160 and 2165.

LCM(2160,2165) = 24×33×51×4331
LCM(2160,2165) = 935280

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

Factors of 2165

List of positive integer factors of 2165 that divides 2165 without a remainder.

1, 5, 433, 2165

Least Common Multiple of 2160 and 2165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2160 and 2165, than apply into the LCM equation.

GCF(2160,2165) = 5
LCM(2160,2165) = ( 2160 × 2165) / 5
LCM(2160,2165) = 4676400 / 5
LCM(2160,2165) = 935280

Properties of LCM 2160 and 2165

(i) The LCM of 2165 and 2160 is associative

LCM of 2160 and 2165 = LCM of 2165 and 2160

Related Least Common Multiples of 2160

Related Least Common Multiples of 2165

Frequently Asked Questions on LCM of 2160 and 2165

1. What is the LCM of 2160 and 2165?

Answer: LCM of 2160 and 2165 is 935280.

2. What are the Factors of 2160?

Answer: Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. There are 40 integers that are factors of 2160. The greatest factor of 2160 is 2160.

3. What are the Factors of 2165?

Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.

4. How to Find the LCM of 2160 and 2165?

Answer:

Least Common Multiple of 2160 and 2165 = 935280

Step 1: Find the prime factorization of 2160

2160 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 2165

2165 = 5 x 433

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

LCM = 935280 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 433

Step 4: Therefore, the least common multiple of 2160 and 2165 is 935280.