Least Common Multiple of 5440 and 5444

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 5444 the smallest integer that is 7403840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5440 and 5444 is 7403840.

LCM(5440,5444) = 7403840

LCM of 5440 and 5444

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

LCM of:
and

Least Common Multiple of 5440 and 5444

LCM of 5440 and 5444 is 7403840

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5444. First we will calculate the prime factors of 5440 and 5444.

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 5444


2 5444
2 2722
1361 1361
1

Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:

5444 = 22×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5444.

LCM(5440,5444) = 26×51×171×13611
LCM(5440,5444) = 7403840

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 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1, 2, 4, 1361, 2722, 5444

Least Common Multiple of 5440 and 5444 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 5444, than apply into the LCM equation.

GCF(5440,5444) = 4
LCM(5440,5444) = ( 5440 × 5444) / 4
LCM(5440,5444) = 29615360 / 4
LCM(5440,5444) = 7403840

Properties of LCM 5440 and 5444

(i) The LCM of 5444 and 5440 is associative

LCM of 5440 and 5444 = LCM of 5444 and 5440

Related Least Common Multiples of 5440

Related Least Common Multiples of 5444

Frequently Asked Questions on LCM of 5440 and 5444

1. What is the LCM of 5440 and 5444?

Answer: LCM of 5440 and 5444 is 7403840.

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 5444?

Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.

4. How to Find the LCM of 5440 and 5444?

Answer:

Least Common Multiple of 5440 and 5444 = 7403840

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 5444

5444 = 2 x 2 x 1361

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

LCM = 7403840 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 1361

Step 4: Therefore, the least common multiple of 5440 and 5444 is 7403840.