Question

Find the LCM and HCF of 6 and 20 by the prime factorisation method.​

Answer 1

Answer:

L.C.M. is 60 and H.C.F. is 3

hope this is helpful for you ✨

Answer 2

Answer:

We have : 6 = 21

× 31 and 20 = 2 × 2 × 5 = 22

× 51

.

You can find HCF(6, 20) = 2 and LCM(6, 20) = 2 × 2 × 3 × 5 = 60, as done in your

earlier classes.

Note that HCF(6, 20) = 21

= Product of the smallest power of each common

prime factor in the numbers.

LCM (6, 20) = 22

× 31

× 51

= Product of the greatest power of each prime factor,

involved in the numbers.

From the example above, you might have noticed that HCF(6, 20) × LCM(6, 20)

= 6 × 20. In fact, we can verify that for any two positive integers a and b,

HCF (a, b) × LCM (a, b) = a × b. We can use this result to find the LCM of two

positive integers, if we have already found the HCF of the two positive integers.