Least Common Multiple of 2160 and 2162

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 2162 the smallest integer that is 2334960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2160 and 2162 is 2334960.

LCM(2160,2162) = 2334960

LCM of 2160 and 2162

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

LCM of:
and

Least Common Multiple of 2160 and 2162

LCM of 2160 and 2162 is 2334960

Least common multiple can be found by multiplying the highest exponent prime factors of 2160 and 2162. First we will calculate the prime factors of 2160 and 2162.

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 2162


2 2162
23 1081
47 47
1

Prime factors of 2162 are 2, 23,47. Prime factorization of 2162 in exponential form is:

2162 = 21×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2160 and 2162.

LCM(2160,2162) = 24×33×51×231×471
LCM(2160,2162) = 2334960

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 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1, 2, 23, 46, 47, 94, 1081, 2162

Least Common Multiple of 2160 and 2162 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 2162, than apply into the LCM equation.

GCF(2160,2162) = 2
LCM(2160,2162) = ( 2160 × 2162) / 2
LCM(2160,2162) = 4669920 / 2
LCM(2160,2162) = 2334960

Properties of LCM 2160 and 2162

(i) The LCM of 2162 and 2160 is associative

LCM of 2160 and 2162 = LCM of 2162 and 2160

Related Least Common Multiples of 2160

Related Least Common Multiples of 2162

Frequently Asked Questions on LCM of 2160 and 2162

1. What is the LCM of 2160 and 2162?

Answer: LCM of 2160 and 2162 is 2334960.

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 2162?

Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.

4. How to Find the LCM of 2160 and 2162?

Answer:

Least Common Multiple of 2160 and 2162 = 2334960

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 2162

2162 = 2 x 23 x 47

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

LCM = 2334960 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 x 47

Step 4: Therefore, the least common multiple of 2160 and 2162 is 2334960.