Question

1.1. If two positive integers m and n are
expressible in the form m = p²q³ and n=p³q²
where p and q are prime
numbers then LCM (m, n)​

Answer 1

Answer:

p³q³

Step-by-step explanation:

We know that LCM is the highest power of the integers.

So,

The LCM will becomes p³q³

Answer 2

Step-by-step explanation:

Given :-

Two positive integers m and n are expressible in the form m = p²q³ and n=p³q², where p and q are prime numbers.

To find :-

Find the LCM (m, n) ?

Solution :-

Given that

Two positive integers m and n are expressible in the form m = p²q³ and n=p³q², where p and q are prime numbers.

m = p²q³

n = p³q²

LCM is the product of the numbers with heighest powers in ech of the prime factors

=> LCM ( m,n) = p³q³

Answer :-

The LCM of m and n is p³q³

Used formulae:-

★LCM of two or more numbers is the least Common multiple of the numbers.

★In prime factorization of the numbers ,the LCM is the product of the numbers with heighest powers in ech of the prime factors.