Question

Find hcf and lcm of 11008 and 7344 using fundamental theorem of arithmetic

Answer 1

Given:

The numbers 11008 and 7344

To find:

Find hcf and lcm of 11008 and 7344 using fundamental theorem of arithmetic

Solution:

From given, we have,

The numbers 11008 and 7344

The hcf and lcm of 11008 and 7344 using fundamental theorem of arithmetic

The  prime factorization of 11008 is

2 | 11008

2 | 5504

2 | 2752

2 | 1376

2 | 688

2 | 344

2 | 172

2 | 86

43 | 43

1

11008 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 43

11008 = 2^8 × 43

The prime factorization of 7344 is

2 | 7344

2 | 3672

2 | 1836

2 | 918

3 | 459

3 | 153

3 | 51

17 | 17

1

7344 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17

7344 = 2^4 × 3³ × 17

Now,

HCF = 2^4 = 16

LCM = 2^8 × 43  × 3³ × 17 = 5052672

Answer 2

Step-by-step explanation:

lcm of 11008 and 7344 is above