Least Common Multiple of 2160 and 2166

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 2166 the smallest integer that is 779760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2160 and 2166 is 779760.

LCM(2160,2166) = 779760

LCM of 2160 and 2166

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

LCM of:
and

Least Common Multiple of 2160 and 2166

LCM of 2160 and 2166 is 779760

Least common multiple can be found by multiplying the highest exponent prime factors of 2160 and 2166. First we will calculate the prime factors of 2160 and 2166.

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 2166


2 2166
3 1083
19 361
19 19
1

Prime factors of 2166 are 2, 3,19. Prime factorization of 2166 in exponential form is:

2166 = 21×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 2160 and 2166.

LCM(2160,2166) = 24×33×51×192
LCM(2160,2166) = 779760

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 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

Least Common Multiple of 2160 and 2166 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 2166, than apply into the LCM equation.

GCF(2160,2166) = 6
LCM(2160,2166) = ( 2160 × 2166) / 6
LCM(2160,2166) = 4678560 / 6
LCM(2160,2166) = 779760

Properties of LCM 2160 and 2166

(i) The LCM of 2166 and 2160 is associative

LCM of 2160 and 2166 = LCM of 2166 and 2160

Related Least Common Multiples of 2160

Related Least Common Multiples of 2166

Frequently Asked Questions on LCM of 2160 and 2166

1. What is the LCM of 2160 and 2166?

Answer: LCM of 2160 and 2166 is 779760.

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 2166?

Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.

4. How to Find the LCM of 2160 and 2166?

Answer:

Least Common Multiple of 2160 and 2166 = 779760

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 2166

2166 = 2 x 3 x 19 x 19

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

LCM = 779760 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 19

Step 4: Therefore, the least common multiple of 2160 and 2166 is 779760.