# What is the term for the smallest number that two numbers can both divide into evenly?

For example, for the numbers $$2$$ and $$3$$ it would be $$6$$, which is the smallest number that's evenly divisible by both $$2$$ and $$3$$.

More examples: for $$10$$ and $$40$$ it would be $$40$$. For $$7$$ and $$11$$ it would be $$77$$. For $$3$$ and $$5$$ it would be $$15$$. For $$250$$ and $$375$$ it would be $$750$$.

The answer is least common multiple. Any number that $$250$$ divides evenly into is called a multiple of $$250$$. And any number that $$375$$ divides evenly into is called a multiple of $$375$$. The two numbers necessarily have some multiples in common, and $$750$$ is the smallest (positive) such number. Hence the phrase least common multiple.