Find the LCM and HCF of 336 and 54
336 and 54
HCF=Product of the smallest power of each common prime factor in the numbers =2×3=6
LCM=Product of the greatest power of each prime factor involved in the numbers =24×33×7=3024
HCF×LCM = 6×3024 = 18144
Product of two given numbers =336×54 = 18144
Therefore, it is proved that LCM×HCF = product of two given numbers.