Least Common Multiple of 5440 and 5445

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 5445 the smallest integer that is 5924160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5440 and 5445 is 5924160.

LCM(5440,5445) = 5924160

LCM of 5440 and 5445

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

LCM of:
and

Least Common Multiple of 5440 and 5445

LCM of 5440 and 5445 is 5924160

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5445. First we will calculate the prime factors of 5440 and 5445.

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 5445


3 5445
3 1815
5 605
11 121
11 11
1

Prime factors of 5445 are 3, 5,11. Prime factorization of 5445 in exponential form is:

5445 = 32×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5445.

LCM(5440,5445) = 26×32×51×112×171
LCM(5440,5445) = 5924160

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 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

Least Common Multiple of 5440 and 5445 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 5445, than apply into the LCM equation.

GCF(5440,5445) = 5
LCM(5440,5445) = ( 5440 × 5445) / 5
LCM(5440,5445) = 29620800 / 5
LCM(5440,5445) = 5924160

Properties of LCM 5440 and 5445

(i) The LCM of 5445 and 5440 is associative

LCM of 5440 and 5445 = LCM of 5445 and 5440

Related Least Common Multiples of 5440

Related Least Common Multiples of 5445

Frequently Asked Questions on LCM of 5440 and 5445

1. What is the LCM of 5440 and 5445?

Answer: LCM of 5440 and 5445 is 5924160.

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 5445?

Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.

4. How to Find the LCM of 5440 and 5445?

Answer:

Least Common Multiple of 5440 and 5445 = 5924160

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 5445

5445 = 3 x 3 x 5 x 11 x 11

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

LCM = 5924160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 5440 and 5445 is 5924160.