(a) Write $$30$$ as a product of its prime factors.
(b) Find the lowest common multiple (LCM) of $$30$$ and $$45$$.
a) 30 can be written as product of its prime factors as,
$$30=2\times 3\times 5$$
b) LCM of 30 and 45 can be calculated by using division method as follows-
$$LCM=2\times 3\times 5\times 3$$
$$\therefore LCM=90$$