Least Common Multiple of 2156 and 2160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2156 and 2160 the smallest integer that is 1164240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2156 and 2160 is 1164240.

LCM(2156,2160) = 1164240

LCM of 2156 and 2160

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

LCM of:
and

Least Common Multiple of 2156 and 2160

LCM of 2156 and 2160 is 1164240

Least common multiple can be found by multiplying the highest exponent prime factors of 2156 and 2160. First we will calculate the prime factors of 2156 and 2160.

Prime Factorization of 2156


2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 2156 are 2, 7,11. Prime factorization of 2156 in exponential form is:

2156 = 22×72×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2156 and 2160.

LCM(2156,2160) = 24×33×51×72×111
LCM(2156,2160) = 1164240

Factors of 2156

List of positive integer factors of 2156 that divides 2156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

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

Least Common Multiple of 2156 and 2160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2156 and 2160, than apply into the LCM equation.

GCF(2156,2160) = 4
LCM(2156,2160) = ( 2156 × 2160) / 4
LCM(2156,2160) = 4656960 / 4
LCM(2156,2160) = 1164240

Properties of LCM 2156 and 2160

(i) The LCM of 2160 and 2156 is associative

LCM of 2156 and 2160 = LCM of 2160 and 2156

Related Least Common Multiples of 2156

Related Least Common Multiples of 2160

Frequently Asked Questions on LCM of 2156 and 2160

1. What is the LCM of 2156 and 2160?

Answer: LCM of 2156 and 2160 is 1164240.

2. What are the Factors of 2156?

Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.

3. 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.

4. How to Find the LCM of 2156 and 2160?

Answer:

Least Common Multiple of 2156 and 2160 = 1164240

Step 1: Find the prime factorization of 2156

2156 = 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 2160

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

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

LCM = 1164240 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 2156 and 2160 is 1164240.