## What is the $$LCM$$ of $$x$$ and $$12?$$

##### This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

### What is the $$LCM$$ of $$x$$ and $$12?$$

by Vincen » Thu Jul 30, 2020 8:30 am

00:00

A

B

C

D

E

## Global Stats

What is the $$LCM$$ of $$x$$ and $$12?$$

(1) The Least Common Multiple of $$x$$ and $$9$$ is $$45?$$
(2) The Least Common Multiple of $$x$$ and $$4$$ is $$20?$$

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT

Junior | Next Rank: 30 Posts
Posts: 13
Joined: Tue Jul 28, 2020 9:01 pm

### Re: What is the $$LCM$$ of $$x$$ and $$12?$$

by terminator12 » Thu Jul 30, 2020 7:20 pm

00:00

A

B

C

D

E

## Global Stats

Statement 1:
45 = $${3^2}$$*5
9 = $${3^2}$$
Hence, x = 5*$${3^a}$$
where a = 0, 1 ,2
x can be 5, 15, 45
Hence, this statement is insufficient.

Statement 2:
20 = $${2^2}$$*5
4 = $${3^2}$$
Hence, x = 5*$${2^a}$$
where a = 0, 1 ,2
x can be 5, 10, 20
Hence, this statement is insufficient.

Combining both statements, we get x = 5