Least Common Multiple of 2160 and 2163

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 2163 the smallest integer that is 1557360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2160 and 2163 is 1557360.

LCM(2160,2163) = 1557360

LCM of 2160 and 2163

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

LCM of:
and

Least Common Multiple of 2160 and 2163

LCM of 2160 and 2163 is 1557360

Least common multiple can be found by multiplying the highest exponent prime factors of 2160 and 2163. First we will calculate the prime factors of 2160 and 2163.

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 2163


3 2163
7 721
103 103
1

Prime factors of 2163 are 3, 7,103. Prime factorization of 2163 in exponential form is:

2163 = 31×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2160 and 2163.

LCM(2160,2163) = 24×33×51×71×1031
LCM(2160,2163) = 1557360

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 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1, 3, 7, 21, 103, 309, 721, 2163

Least Common Multiple of 2160 and 2163 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 2163, than apply into the LCM equation.

GCF(2160,2163) = 3
LCM(2160,2163) = ( 2160 × 2163) / 3
LCM(2160,2163) = 4672080 / 3
LCM(2160,2163) = 1557360

Properties of LCM 2160 and 2163

(i) The LCM of 2163 and 2160 is associative

LCM of 2160 and 2163 = LCM of 2163 and 2160

Related Least Common Multiples of 2160

Related Least Common Multiples of 2163

Frequently Asked Questions on LCM of 2160 and 2163

1. What is the LCM of 2160 and 2163?

Answer: LCM of 2160 and 2163 is 1557360.

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 2163?

Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.

4. How to Find the LCM of 2160 and 2163?

Answer:

Least Common Multiple of 2160 and 2163 = 1557360

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 2163

2163 = 3 x 7 x 103

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

LCM = 1557360 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 103

Step 4: Therefore, the least common multiple of 2160 and 2163 is 1557360.