Question

HCF and LCM of two number is 128 and 14976 if one of the number is 1152 find the other number​

Answer 1

Step-by-step explanation:

Prime factorization of 1,152

=>

1,152 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Prime factorization of 1,664 =>

1,664 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13

LCM = 2^7 × 3^2 × 13 = 14,976

HCF = 2^7 = 128

LCM × HCF = A × B

=> 14,976 × 128 = 1,152 × 1,664

=> 19,16,928 = 19,16,928

Hence, verified.