**2.** Find the **LCM and HCF** of the following pairs of integers and verify that LCM x HCF=product of the two numbers.

**(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54**

**(i) 26 and 91**

**HCF=**Product of the smallest power of each common prime factor in the numbers=13

**LCM=**Product of the greatest power of each prime factor involved in the numbers

HCF LCM

Product of two given numbers=

Therefore, it is proved that LCM HCF=product of two numbers

**(ii) 510 and 92**

HCF**=**Product of the smallest power of each common prime factor in the numbers=2

LCM**=**Product of the greatest power of each prime factor involved in the numbers

LCM HCF

Product of two given numbers

Therefore, it is proved that LCM HCF=product of two given numbers.

**(iii) 336 and 54**

**HCF**=Product of the smallest power of each common prime factor in the numbers

**LCM =**Product of the greatest power of each prime factor involved in the numbers

HCF LCM=

Product of two given numbers

Therefore, it is proved that LCM HCF =product of two given numbers.