Question

If m is the LCM of p and q, then m is divisible
by both p and q.
Explain the reason

Answer 1

A prime number is a natural number greater than 1 which has no divisor other than 1 and itself.

example :

2

,

3

,

5

,

7

,

11

,

13

...

etc

The least common multiple (LCM) of two numbers is the smallest non zero number which is a multiple of both numbers.

considering the L.C.M of two primes :

2

and

3

, here the L.C.M =

2

×

3

=

6

3

and

5

, L.C.M =

3

×

5

=

15

2

and

7

, L.C.M =

2

×

7

=

14

so if

p

and

q

are primes L.C.M

=

p

×

q

=

p

q

Answer 2

ANSWER:

The reason is that m is the factor of both p and q. OKK!!!

HOPE THIS WOULD HELP YOU!!!!!!