Question

If p and q are positive integers such that p= ab^2 and q=a^3 b where a, b are prime numbers then LCM( p,q)=

Answer 1

Step-by-step explanation:

Answer:

A^{3} B^{2}

explanation:

P = A* B* B

Q = A*A*A*B

LCM OF P AND Q = LCM OFB^{2} A, A^{3} B= a*b*b*a*a = a^{3} b^{2}

[ lcm is the product of the greatest power of each prime factor ]

Explanation:

We are given that , p and q are positive integers such that p = ab²and q = a³b , where a and b are prime.

Then ,the prime factorization of p is a\times b\times b

The prime factorization of q is a\times a\times a\times b

The lcm of two numbers m and n is the least number that is divisible by both ma nd n.

The lcm of p and q is lcm(p,q)=a\times a\times a\times b\times b= a^3b^2

Therefore , the lcm of p and q is a^3b^2 .

The least common multiple of 15,24,30,40 is:

hope it's help u^_^

Answer 2

Step-by-step explanation:

Hope this may help you...........

LCM=a^3b^2