SOLUTION: What is the smallest positive 4-digit integer that is a multiple of both 28 and 35?

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Question 1105334: What is the smallest positive 4-digit integer that is a multiple of both 28 and 35?
Found 2 solutions by KMST, Alan3354:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
28=7%2A4
35=7%2A5
To be a multiple of both of those numbers,
a positive integer has to have for factors
the relatively prime numbers 4, 5, and 7.
The smallest such number is
4%2A5%2A7=20%2A7=highlight%28140%29=28%2A5=35%2A4

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the smallest positive 4-digit integer that is a multiple of both 28 and 35?
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The LCM of 28 & 35 is 140.
The smallest 4 digit # is 140*8 = 1120