We will see how to find the LCM and HCF of 5^22 5^58 5^37 5^53 and such kinds of indices. In this question, we are seeing that it is in the form of x22 x58 x37 x53.
So we will consider 5 as the x from the standard formula.
As we all know that in such kinds of indices where the base is common HCF is the minimum power divisor. And in the same way, LCM or least common multiply is the highest power devisor.
Find the LCM and HCF of 5^22 5^58 5^37 5^53
In this question common base is 5. And minimum power factor is 5^22. Because this is the highest factor that can divide all indices completely.
Hence the HCF of HCF of 5^22 5^58 5^37 5^53 is 5^22.
In the same way LCM is least common multiple of the given indices. And we know that 5^58 is the least indices which cn be devided completely by all the indecises.
So, the LCM or least common multiple of 5^22 5^58 5^37 5^53 is 5^58.