# How do i find the lcm [duplicate]

Qn: If the product of two integers is $$2^7 \cdot 3^8 \cdot 5^2 \cdot 7^{11}$$ and their greatest common divisor is $$2^3 \cdot 3^4 \cdot 5$$, what is their least common multiple?

I tried assuming that lcm is $$x$$ =. Then, Gcd $$\cdot x = 2^3 \cdot 3^4 \cdot 5x$$. And, product factors /Gcd $$x$$
• Hint: $lcm(a, b) = ab / gcd(a, b)$. – Borna Ghahnoosh May 11 '19 at 14:54