Least Common Multiple of 2160 and 2161

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 2161 the smallest integer that is 4667760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2160 and 2161 is 4667760.

LCM(2160,2161) = 4667760

LCM of 2160 and 2161

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

LCM of:
and

Least Common Multiple of 2160 and 2161

LCM of 2160 and 2161 is 4667760

Least common multiple can be found by multiplying the highest exponent prime factors of 2160 and 2161. First we will calculate the prime factors of 2160 and 2161.

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 2161


2161 2161
1

Prime factors of 2161 are 2161. Prime factorization of 2161 in exponential form is:

2161 = 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 2160 and 2161.

LCM(2160,2161) = 24×33×51×21611
LCM(2160,2161) = 4667760

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 2161

List of positive integer factors of 2161 that divides 2161 without a remainder.

1, 2161

Least Common Multiple of 2160 and 2161 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 2161, than apply into the LCM equation.

GCF(2160,2161) = 1
LCM(2160,2161) = ( 2160 × 2161) / 1
LCM(2160,2161) = 4667760 / 1
LCM(2160,2161) = 4667760

Properties of LCM 2160 and 2161

(i) The LCM of 2161 and 2160 is associative

LCM of 2160 and 2161 = LCM of 2161 and 2160

Related Least Common Multiples of 2160

Related Least Common Multiples of 2161

Frequently Asked Questions on LCM of 2160 and 2161

1. What is the LCM of 2160 and 2161?

Answer: LCM of 2160 and 2161 is 4667760.

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 2161?

Answer: Factors of 2161 are 1, 2161. There are 2 integers that are factors of 2161. The greatest factor of 2161 is 2161.

4. How to Find the LCM of 2160 and 2161?

Answer:

Least Common Multiple of 2160 and 2161 = 4667760

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 2161

2161 = 2161

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

LCM = 4667760 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 2161

Step 4: Therefore, the least common multiple of 2160 and 2161 is 4667760.