# What is the least common multiple of 15 and 50?

Apr 2, 2016

#### Explanation:

One easy way to determine lcm of small numbers is to multiply the larger number until a common multiple is found.
In this case, we can multiply 50 until we find a number that is divisible by 15.

$50 \cdot 1 = 50$
not divisible by 15

$50 \cdot 2 = 100$
not divisible by 15

$50 \cdot 3 = 150$
divisible by 15

Therefore, the smallest number divisible by both 50 and 15 is 150.
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