Least Common Multiple of 2154 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 2154 and 2160 the smallest integer that is 775440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2154 and 2160 is 775440.

LCM(2154,2160) = 775440

LCM of 2154 and 2160

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

LCM of:
and

Least Common Multiple of 2154 and 2160

LCM of 2154 and 2160 is 775440

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2160. First we will calculate the prime factors of 2154 and 2160.

Prime Factorization of 2154


2 2154
3 1077
359 359
1

Prime factors of 2154 are 2, 3,359. Prime factorization of 2154 in exponential form is:

2154 = 21×31×3591

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 2154 and 2160.

LCM(2154,2160) = 24×33×51×3591
LCM(2154,2160) = 775440

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1, 2, 3, 6, 359, 718, 1077, 2154

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 2154 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 2154 and 2160, than apply into the LCM equation.

GCF(2154,2160) = 6
LCM(2154,2160) = ( 2154 × 2160) / 6
LCM(2154,2160) = 4652640 / 6
LCM(2154,2160) = 775440

Properties of LCM 2154 and 2160

(i) The LCM of 2160 and 2154 is associative

LCM of 2154 and 2160 = LCM of 2160 and 2154

Related Least Common Multiples of 2154

Related Least Common Multiples of 2160

Frequently Asked Questions on LCM of 2154 and 2160

1. What is the LCM of 2154 and 2160?

Answer: LCM of 2154 and 2160 is 775440.

2. What are the Factors of 2154?

Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.

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 2154 and 2160?

Answer:

Least Common Multiple of 2154 and 2160 = 775440

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

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 = 775440 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 359

Step 4: Therefore, the least common multiple of 2154 and 2160 is 775440.