what is the highest common multiple of 16 and 24?

Question

anonymous · Answer

Split each number up into its prime factors:
$$16=2\times2\times2\times2=2^4$$
$$24=2\times2\times2\times3=2^3\times3$$
Both have $2^3$ as a factor, so the highest common multiple is $2^3=8$.

anonymous · Answer

Do you understand that or is there anything I can make clearer?

anonymous · Answer

thanks for your answer!

anonymous · Answer

No problem :)

amistre64 · Answer

ive heard of a lowest common multiple; and a highest common factor ...

amistre64 · Answer

but there is no highest common multiple of a set of integers that i can recall

anonymous · Answer

I think he meant HCF.

amistre64 · Answer

with any luck :)

anonymous · Answer

Highest common multiple would be $\infty$ I guess :P

anonymous · Answer

my teacher says the highest common multiple, but they also called it HCF, but i just called it highest common factor because thats what it says in my homework.

anonymous · Answer

Highest common factor is fine, your teacher is wrong to say highest common multiple though.I think she's confusing it with lowest common multiple.

anonymous · Answer

sorry, multiple. just got confused

anonymous · Answer

He/she :S