Least Common Multiple of 5434 and 5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5434 and 5440 the smallest integer that is 14780480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5434 and 5440 is 14780480.

LCM(5434,5440) = 14780480

LCM of 5434 and 5440

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

LCM of:
and

Least Common Multiple of 5434 and 5440

LCM of 5434 and 5440 is 14780480

Least common multiple can be found by multiplying the highest exponent prime factors of 5434 and 5440. First we will calculate the prime factors of 5434 and 5440.

Prime Factorization of 5434


2 5434
11 2717
13 247
19 19
1

Prime factors of 5434 are 2, 11, 13,19. Prime factorization of 5434 in exponential form is:

5434 = 21×111×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5434 and 5440.

LCM(5434,5440) = 26×51×111×131×171×191
LCM(5434,5440) = 14780480

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434

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

Least Common Multiple of 5434 and 5440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5434 and 5440, than apply into the LCM equation.

GCF(5434,5440) = 2
LCM(5434,5440) = ( 5434 × 5440) / 2
LCM(5434,5440) = 29560960 / 2
LCM(5434,5440) = 14780480

Properties of LCM 5434 and 5440

(i) The LCM of 5440 and 5434 is associative

LCM of 5434 and 5440 = LCM of 5440 and 5434

Related Least Common Multiples of 5434

Related Least Common Multiples of 5440

Frequently Asked Questions on LCM of 5434 and 5440

1. What is the LCM of 5434 and 5440?

Answer: LCM of 5434 and 5440 is 14780480.

2. What are the Factors of 5434?

Answer: Factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434. There are 16 integers that are factors of 5434. The greatest factor of 5434 is 5434.

3. 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.

4. How to Find the LCM of 5434 and 5440?

Answer:

Least Common Multiple of 5434 and 5440 = 14780480

Step 1: Find the prime factorization of 5434

5434 = 2 x 11 x 13 x 19

Step 2: Find the prime factorization of 5440

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

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

LCM = 14780480 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 5434 and 5440 is 14780480.