Last visit was: 24 Jun 2024, 22:57 It is currently 24 Jun 2024, 22:57

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 28981
Own Kudos [?]: 33802 [0]
Given Kudos: 25391
Send PM
avatar
Intern
Intern
Joined: 27 Nov 2014
Posts: 30
Own Kudos [?]: 8 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 19 Mar 2018
Posts: 14
Own Kudos [?]: 12 [0]
Given Kudos: 0
Send PM
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1088
Own Kudos [?]: 897 [0]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
Re: Least common multiple of the two positive integers m and n [#permalink]
Theory: LCM of two numbers is >= to the greater of the two number and <= product of the two number.

Greater(a,b) <= LCM(a,b) <= a*b

So, LCM(k,n) <= k*n
It will be equal to k,n only when k and n are co-prime numbers. (means they don't have any common factor apart from 1)

Since, we don't know the value of k and n so we cannot determine the answer.

Some, mathematical examples
Ex 1: if k= 2 and n = 3 then LCM(2,3) = 6
=> LCM(k,n) = k*n

Ex 2: if k= 2 and n = 4 then LCM(2,4) = 4
=> LCM(k,n) <= k*n

So, answer will be D
Hope it helps!

To learn more about LCM and GCD watch the following videos



Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1088
Own Kudos [?]: 897 [0]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
Re: Least common multiple of the two positive integers m and n [#permalink]
mrr0821 Least multiple of 2 & 3 will be 6 as they are co-prime numbers. (they don't have any any common factor, apart from 1)
Prep Club for GRE Bot
[#permalink]
Moderators:
GRE Instructor
27 posts
Moderator
1088 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne