Least Common Multiple of 5440 and 5441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5440 and 5441 the smallest integer that is 29599040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5440 and 5441 is 29599040.

LCM(5440,5441) = 29599040

LCM of 5440 and 5441

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

LCM of:
and

Least Common Multiple of 5440 and 5441

LCM of 5440 and 5441 is 29599040

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5441. First we will calculate the prime factors of 5440 and 5441.

Prime Factorization of 5440


2 5440
2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 5440 are 2, 5,17. Prime factorization of 5440 in exponential form is:

5440 = 26×51×171

Prime Factorization of 5441


5441 5441
1

Prime factors of 5441 are 5441. Prime factorization of 5441 in exponential form is:

5441 = 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5441.

LCM(5440,5441) = 26×51×171×54411
LCM(5440,5441) = 29599040

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440

Factors of 5441

List of positive integer factors of 5441 that divides 5441 without a remainder.

1, 5441

Least Common Multiple of 5440 and 5441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5440 and 5441, than apply into the LCM equation.

GCF(5440,5441) = 1
LCM(5440,5441) = ( 5440 × 5441) / 1
LCM(5440,5441) = 29599040 / 1
LCM(5440,5441) = 29599040

Properties of LCM 5440 and 5441

(i) The LCM of 5441 and 5440 is associative

LCM of 5440 and 5441 = LCM of 5441 and 5440

Related Least Common Multiples of 5440

Related Least Common Multiples of 5441

Frequently Asked Questions on LCM of 5440 and 5441

1. What is the LCM of 5440 and 5441?

Answer: LCM of 5440 and 5441 is 29599040.

2. What are the Factors of 5440?

Answer: Factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. There are 28 integers that are factors of 5440. The greatest factor of 5440 is 5440.

3. What are the Factors of 5441?

Answer: Factors of 5441 are 1, 5441. There are 2 integers that are factors of 5441. The greatest factor of 5441 is 5441.

4. How to Find the LCM of 5440 and 5441?

Answer:

Least Common Multiple of 5440 and 5441 = 29599040

Step 1: Find the prime factorization of 5440

5440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 5441

5441 = 5441

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

LCM = 29599040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 5441

Step 4: Therefore, the least common multiple of 5440 and 5441 is 29599040.