# How do you find the Least common multiple of 4, 30?

LCM of 4 and 30 is $60$

#### Explanation:

$4$ has the factors $1 \cdot 2 \cdot 2 = 1 \cdot {2}^{2}$

$30$ has the factors $1 \cdot 2 \cdot 3 \cdot 5$

To find the LCM, pick all the different prime factors for both numbers $4$ and $30 \text{ }$choosing the prime number with higher exponent in case of similarity .

So choose, ${2}^{2}$ and $3$ and $5$

Get the product to obtain LCM$= 60$

God bless.....I hope the explanation is useful.