Number theory: find the value of $a$

Question

In the following problem, you are given three pieces of information. Use them to answer the question.

$GCF(a,b)= 13\cdot 7$
$LCM(a,b) = 13^2 \cdot 7^3 \cdot 41$
$b=13^2 \cdot 7 \cdot 41$
$a \in \mathbb{N}$

What is $a$ ?

Are you aware of the fact that LCM$\times$GCD = product of the numbers? — Vishu, Apr 01 '20 at 11:35

score 2 · Answer 1 · answered Apr 01 '20 at 11:44

2

For the solution, it is worth knowing that a * b = GCF(a, b) * LCM(a, b);(If you don't know this, try to prove it(it's easy)) a = GCF(a, b) * LCM(a, b) / b = 4459.

answered Apr 01 '20 at 11:44

Alex_Lesley

222

Thank you so much! :) – Trizha Conechado Apr 01 '20 at 13:03

Number theory: find the value of $a$

1 Answers1