2. Jerwin exercises every 12 days and Nikki every 8 days. Jerwin and
Nikki both exercised today. How many days will be until they
exercise together again?
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2. Jerwin exercises every 12 days and Nikki every 8 days. Jerwin and
Nikki both exercised today. How many days will be until they
exercise together again?
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Verified answer
Least Common Multiple
Least Common Multiple is also referred to as the Lowest Common Multiple and Least Common Divisor. For two integers a and b, the LCM is the smallest positive integer that is evenly divisible by a and b. For example, LCM(2,3) = 6. Derived using prime factorization. Aside from prime factorization, continuous division is also used.
Answer:
24 days
Solutions:
Given: every 12 days - Jerwin's exercise schedule
every 8 days - Nikki's exercise schedule
Asked: The number of days until Jerwin and Nikki will exercise together again.
List the multiples of 12 and 8.
12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Choose the common multiples.
12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Common Multiples: 24, 48, 72
Choose the lowest.
LCM = 24
Therefore, Jerwin and Nikki will both exercise on the 24th day.
How to find the least common multiple: brainly.ph/question/19054058
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