Pre LCM

Suppose a and b are positive integers. If a number is a multiple of both a and b, then we say that the number is a ____ of a and b .

The smallest positive integer that is a multiple of both a and b is called the of a and b.

For example, 12 is a common multiple of 2 and 3, and the least common multiple of 2 and 3 is___

We can refer to the least common multiple of a and b as LCM (a,b) . So, we have LCM (2,3) is equal to ____

We can extend the concept of a common multiple to any number of integers. For example, ____ is a common multiple of the three integers 2, 3, and 4,

Let a and b be positive integers. Every multiple of LCM of (a,b) is a common multiple of a and b , and every common multiple of a and b is a multiple of LCM of (a,b) .

• True

• False

LCM of 96 and 144 is ....

LCM of 28 and 35 is ....

LCM of 24, 36 and 42 is ....

• Yes

• No