Least Common Multiple of 2153 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 2153 and 2160 the smallest integer that is 4650480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2153 and 2160 is 4650480.

LCM(2153,2160) = 4650480

LCM of 2153 and 2160

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

LCM of:
and

Least Common Multiple of 2153 and 2160

LCM of 2153 and 2160 is 4650480

Least common multiple can be found by multiplying the highest exponent prime factors of 2153 and 2160. First we will calculate the prime factors of 2153 and 2160.

Prime Factorization of 2153


2153 2153
1

Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:

2153 = 21531

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 2153 and 2160.

LCM(2153,2160) = 24×33×51×21531
LCM(2153,2160) = 4650480

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1, 2153

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 2153 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 2153 and 2160, than apply into the LCM equation.

GCF(2153,2160) = 1
LCM(2153,2160) = ( 2153 × 2160) / 1
LCM(2153,2160) = 4650480 / 1
LCM(2153,2160) = 4650480

Properties of LCM 2153 and 2160

(i) The LCM of 2160 and 2153 is associative

LCM of 2153 and 2160 = LCM of 2160 and 2153

Related Least Common Multiples of 2153

Related Least Common Multiples of 2160

Frequently Asked Questions on LCM of 2153 and 2160

1. What is the LCM of 2153 and 2160?

Answer: LCM of 2153 and 2160 is 4650480.

2. What are the Factors of 2153?

Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.

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 2153 and 2160?

Answer:

Least Common Multiple of 2153 and 2160 = 4650480

Step 1: Find the prime factorization of 2153

2153 = 2153

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 = 4650480 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 2153

Step 4: Therefore, the least common multiple of 2153 and 2160 is 4650480.